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Finding the Fourth Proportional to 1,056.27, 1,458.16 and 702.78

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Solution

The fourth proportional to 1,056.27, 1,458.16 and 702.78 is: 970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.27 : 1,458.16 = 702.78 : x
  2. Step 2: Convert to fraction form
    1,056.27/1,458.16 = 702.78/x
  3. Step 3: Cross multiply
    1,056.27x = 1,458.16 × 702.78
  4. Step 4: Simplify right side
    1,056.27x = 1,024,754.88
  5. Step 5: Solve for x
    x = 1,024,754.88/1,056.27
  6. Step 6: Final answer
    x = 970.17

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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.