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Finding the Fourth Proportional to 1,049.70, 1,575.63 and 787.13

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Solution

The fourth proportional to 1,049.70, 1,575.63 and 787.13 is: 1,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.70 : 1,575.63 = 787.13 : x
  2. Step 2: Convert to fraction form
    1,049.70/1,575.63 = 787.13/x
  3. Step 3: Cross multiply
    1,049.70x = 1,575.63 × 787.13
  4. Step 4: Simplify right side
    1,049.70x = 1,240,217.76
  5. Step 5: Solve for x
    x = 1,240,217.76/1,049.70
  6. Step 6: Final answer
    x = 1,181.50

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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.