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Finding the Fourth Proportional to 1,047.74, 1,572.01 and 431.33

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Solution

The fourth proportional to 1,047.74, 1,572.01 and 431.33 is: 647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.74 : 1,572.01 = 431.33 : x
  2. Step 2: Convert to fraction form
    1,047.74/1,572.01 = 431.33/x
  3. Step 3: Cross multiply
    1,047.74x = 1,572.01 × 431.33
  4. Step 4: Simplify right side
    1,047.74x = 678,046.13
  5. Step 5: Solve for x
    x = 678,046.13/1,047.74
  6. Step 6: Final answer
    x = 647.15

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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.