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Finding the Fourth Proportional to 1,061.63, 1,464.42 and 747.35

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Solution

The fourth proportional to 1,061.63, 1,464.42 and 747.35 is: 1,030.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.63 : 1,464.42 = 747.35 : x
  2. Step 2: Convert to fraction form
    1,061.63/1,464.42 = 747.35/x
  3. Step 3: Cross multiply
    1,061.63x = 1,464.42 × 747.35
  4. Step 4: Simplify right side
    1,061.63x = 1,094,426.96
  5. Step 5: Solve for x
    x = 1,094,426.96/1,061.63
  6. Step 6: Final answer
    x = 1,030.90

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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.