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Finding the Fourth Proportional to 836.76, 1,154.16 and 542.19

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Solution

The fourth proportional to 836.76, 1,154.16 and 542.19 is: 747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.76 : 1,154.16 = 542.19 : x
  2. Step 2: Convert to fraction form
    836.76/1,154.16 = 542.19/x
  3. Step 3: Cross multiply
    836.76x = 1,154.16 × 542.19
  4. Step 4: Simplify right side
    836.76x = 625,774.01
  5. Step 5: Solve for x
    x = 625,774.01/836.76
  6. Step 6: Final answer
    x = 747.85

Related Problems

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Half scale
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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.