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Finding the Fourth Proportional to 1,007.31, 1,390.16 and 565.25

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Solution

The fourth proportional to 1,007.31, 1,390.16 and 565.25 is: 780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.31 : 1,390.16 = 565.25 : x
  2. Step 2: Convert to fraction form
    1,007.31/1,390.16 = 565.25/x
  3. Step 3: Cross multiply
    1,007.31x = 1,390.16 × 565.25
  4. Step 4: Simplify right side
    1,007.31x = 785,780.99
  5. Step 5: Solve for x
    x = 785,780.99/1,007.31
  6. Step 6: Final answer
    x = 780.08

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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.