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Finding the Fourth Proportional to 1,056.25, 1,458.10 and 702.79

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Solution

The fourth proportional to 1,056.25, 1,458.10 and 702.79 is: 970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.25 : 1,458.10 = 702.79 : x
  2. Step 2: Convert to fraction form
    1,056.25/1,458.10 = 702.79/x
  3. Step 3: Cross multiply
    1,056.25x = 1,458.10 × 702.79
  4. Step 4: Simplify right side
    1,056.25x = 1,024,739.58
  5. Step 5: Solve for x
    x = 1,024,739.58/1,056.25
  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.