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Finding the Fourth Proportional to 1,066.72, 1,600.24 and 373.47

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Solution

The fourth proportional to 1,066.72, 1,600.24 and 373.47 is: 560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.72 : 1,600.24 = 373.47 : x
  2. Step 2: Convert to fraction form
    1,066.72/1,600.24 = 373.47/x
  3. Step 3: Cross multiply
    1,066.72x = 1,600.24 × 373.47
  4. Step 4: Simplify right side
    1,066.72x = 597,641.63
  5. Step 5: Solve for x
    x = 597,641.63/1,066.72
  6. Step 6: Final answer
    x = 560.26

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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.