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Finding the Fourth Proportional to 689.76, 951.12 and 456.48

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Solution

The fourth proportional to 689.76, 951.12 and 456.48 is: 629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.76 : 951.12 = 456.48 : x
  2. Step 2: Convert to fraction form
    689.76/951.12 = 456.48/x
  3. Step 3: Cross multiply
    689.76x = 951.12 × 456.48
  4. Step 4: Simplify right side
    689.76x = 434,167.26
  5. Step 5: Solve for x
    x = 434,167.26/689.76
  6. Step 6: Final answer
    x = 629.45

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Double scale
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1.5x scale

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.