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Finding the Fourth Proportional to 702.16, 967.68 and 546.64

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Solution

The fourth proportional to 702.16, 967.68 and 546.64 is: 753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.16 : 967.68 = 546.64 : x
  2. Step 2: Convert to fraction form
    702.16/967.68 = 546.64/x
  3. Step 3: Cross multiply
    702.16x = 967.68 × 546.64
  4. Step 4: Simplify right side
    702.16x = 528,972.60
  5. Step 5: Solve for x
    x = 528,972.60/702.16
  6. Step 6: Final answer
    x = 753.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.