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Finding the Fourth Proportional to 1,134.45, 1,565.67 and 686.46

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Solution

The fourth proportional to 1,134.45, 1,565.67 and 686.46 is: 947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.45 : 1,565.67 = 686.46 : x
  2. Step 2: Convert to fraction form
    1,134.45/1,565.67 = 686.46/x
  3. Step 3: Cross multiply
    1,134.45x = 1,565.67 × 686.46
  4. Step 4: Simplify right side
    1,134.45x = 1,074,769.83
  5. Step 5: Solve for x
    x = 1,074,769.83/1,134.45
  6. Step 6: Final answer
    x = 947.39

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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.