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Finding the Fourth Proportional to 1,061.30, 1,464.84 and 707.78

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Solution

The fourth proportional to 1,061.30, 1,464.84 and 707.78 is: 976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.30 : 1,464.84 = 707.78 : x
  2. Step 2: Convert to fraction form
    1,061.30/1,464.84 = 707.78/x
  3. Step 3: Cross multiply
    1,061.30x = 1,464.84 × 707.78
  4. Step 4: Simplify right side
    1,061.30x = 1,036,784.46
  5. Step 5: Solve for x
    x = 1,036,784.46/1,061.30
  6. Step 6: Final answer
    x = 976.90

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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.