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Finding the Fourth Proportional to 1,798.67, 2,698.14 and 500.14

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Solution

The fourth proportional to 1,798.67, 2,698.14 and 500.14 is: 750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.67 : 2,698.14 = 500.14 : x
  2. Step 2: Convert to fraction form
    1,798.67/2,698.14 = 500.14/x
  3. Step 3: Cross multiply
    1,798.67x = 2,698.14 × 500.14
  4. Step 4: Simplify right side
    1,798.67x = 1,349,452.99
  5. Step 5: Solve for x
    x = 1,349,452.99/1,798.67
  6. Step 6: Final answer
    x = 750.25

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.