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Finding the Fourth Proportional to 702.46, 1,053.32 and 378.22

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Solution

The fourth proportional to 702.46, 1,053.32 and 378.22 is: 567.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.46 : 1,053.32 = 378.22 : x
  2. Step 2: Convert to fraction form
    702.46/1,053.32 = 378.22/x
  3. Step 3: Cross multiply
    702.46x = 1,053.32 × 378.22
  4. Step 4: Simplify right side
    702.46x = 398,386.69
  5. Step 5: Solve for x
    x = 398,386.69/702.46
  6. Step 6: Final answer
    x = 567.13

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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.