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Finding the Fourth Proportional to 702.64, 1,053.12 and 378.16

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Solution

The fourth proportional to 702.64, 1,053.12 and 378.16 is: 566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.64 : 1,053.12 = 378.16 : x
  2. Step 2: Convert to fraction form
    702.64/1,053.12 = 378.16/x
  3. Step 3: Cross multiply
    702.64x = 1,053.12 × 378.16
  4. Step 4: Simplify right side
    702.64x = 398,247.86
  5. Step 5: Solve for x
    x = 398,247.86/702.64
  6. Step 6: Final answer
    x = 566.79

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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.