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Finding the Fourth Proportional to 1,134.24, 1,700.16 and 646.25

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Solution

The fourth proportional to 1,134.24, 1,700.16 and 646.25 is: 968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.24 : 1,700.16 = 646.25 : x
  2. Step 2: Convert to fraction form
    1,134.24/1,700.16 = 646.25/x
  3. Step 3: Cross multiply
    1,134.24x = 1,700.16 × 646.25
  4. Step 4: Simplify right side
    1,134.24x = 1,098,725.77
  5. Step 5: Solve for x
    x = 1,098,725.77/1,134.24
  6. Step 6: Final answer
    x = 968.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.