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Finding the Fourth Proportional to 747.16, 1,116.80 and 648.88

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Solution

The fourth proportional to 747.16, 1,116.80 and 648.88 is: 969.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.16 : 1,116.80 = 648.88 : x
  2. Step 2: Convert to fraction form
    747.16/1,116.80 = 648.88/x
  3. Step 3: Cross multiply
    747.16x = 1,116.80 × 648.88
  4. Step 4: Simplify right side
    747.16x = 724,669.18
  5. Step 5: Solve for x
    x = 724,669.18/747.16
  6. Step 6: Final answer
    x = 969.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.