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Finding the Fourth Proportional to 1,520.47, 2,280.70 and 494.47

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Solution

The fourth proportional to 1,520.47, 2,280.70 and 494.47 is: 741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.47 : 2,280.70 = 494.47 : x
  2. Step 2: Convert to fraction form
    1,520.47/2,280.70 = 494.47/x
  3. Step 3: Cross multiply
    1,520.47x = 2,280.70 × 494.47
  4. Step 4: Simplify right side
    1,520.47x = 1,127,737.73
  5. Step 5: Solve for x
    x = 1,127,737.73/1,520.47
  6. Step 6: Final answer
    x = 741.70

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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.