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Finding the Fourth Proportional to 1,798.64, 2,697.90 and 500.12

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Solution

The fourth proportional to 1,798.64, 2,697.90 and 500.12 is: 750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.64 : 2,697.90 = 500.12 : x
  2. Step 2: Convert to fraction form
    1,798.64/2,697.90 = 500.12/x
  3. Step 3: Cross multiply
    1,798.64x = 2,697.90 × 500.12
  4. Step 4: Simplify right side
    1,798.64x = 1,349,273.75
  5. Step 5: Solve for x
    x = 1,349,273.75/1,798.64
  6. Step 6: Final answer
    x = 750.16

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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.