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Finding the Fourth Proportional to 930.96, 1,397.52 and 498.96

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Solution

The fourth proportional to 930.96, 1,397.52 and 498.96 is: 749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.96 : 1,397.52 = 498.96 : x
  2. Step 2: Convert to fraction form
    930.96/1,397.52 = 498.96/x
  3. Step 3: Cross multiply
    930.96x = 1,397.52 × 498.96
  4. Step 4: Simplify right side
    930.96x = 697,306.58
  5. Step 5: Solve for x
    x = 697,306.58/930.96
  6. Step 6: Final answer
    x = 749.02

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Double scale
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1.5x scale

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.