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Finding the Fourth Proportional to 1,017.56, 1,404.24 and 575.47

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Solution

The fourth proportional to 1,017.56, 1,404.24 and 575.47 is: 794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.56 : 1,404.24 = 575.47 : x
  2. Step 2: Convert to fraction form
    1,017.56/1,404.24 = 575.47/x
  3. Step 3: Cross multiply
    1,017.56x = 1,404.24 × 575.47
  4. Step 4: Simplify right side
    1,017.56x = 808,097.99
  5. Step 5: Solve for x
    x = 808,097.99/1,017.56
  6. Step 6: Final answer
    x = 794.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.