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Finding the Fourth Proportional to 702.14, 1,053.17 and 215.11

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Solution

The fourth proportional to 702.14, 1,053.17 and 215.11 is: 322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.14 : 1,053.17 = 215.11 : x
  2. Step 2: Convert to fraction form
    702.14/1,053.17 = 215.11/x
  3. Step 3: Cross multiply
    702.14x = 1,053.17 × 215.11
  4. Step 4: Simplify right side
    702.14x = 226,541.06
  5. Step 5: Solve for x
    x = 226,541.06/702.14
  6. Step 6: Final answer
    x = 322.64

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Why These Related Problems?

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