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Finding the Fourth Proportional to 702.08, 967.20 and 652.16

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Solution

The fourth proportional to 702.08, 967.20 and 652.16 is: 898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.08 : 967.20 = 652.16 : x
  2. Step 2: Convert to fraction form
    702.08/967.20 = 652.16/x
  3. Step 3: Cross multiply
    702.08x = 967.20 × 652.16
  4. Step 4: Simplify right side
    702.08x = 630,769.15
  5. Step 5: Solve for x
    x = 630,769.15/702.08
  6. Step 6: Final answer
    x = 898.43

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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.