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Finding the Fourth Proportional to 1,061.79, 1,464.78 and 707.62

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Solution

The fourth proportional to 1,061.79, 1,464.78 and 707.62 is: 976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.79 : 1,464.78 = 707.62 : x
  2. Step 2: Convert to fraction form
    1,061.79/1,464.78 = 707.62/x
  3. Step 3: Cross multiply
    1,061.79x = 1,464.78 × 707.62
  4. Step 4: Simplify right side
    1,061.79x = 1,036,507.62
  5. Step 5: Solve for x
    x = 1,036,507.62/1,061.79
  6. Step 6: Final answer
    x = 976.19

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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.