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Finding the Fourth Proportional to 1,000.23, 1,499.49 and 383.51

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Solution

The fourth proportional to 1,000.23, 1,499.49 and 383.51 is: 574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.23 : 1,499.49 = 383.51 : x
  2. Step 2: Convert to fraction form
    1,000.23/1,499.49 = 383.51/x
  3. Step 3: Cross multiply
    1,000.23x = 1,499.49 × 383.51
  4. Step 4: Simplify right side
    1,000.23x = 575,061.91
  5. Step 5: Solve for x
    x = 575,061.91/1,000.23
  6. Step 6: Final answer
    x = 574.93

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Double scale
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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.