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Finding the Fourth Proportional to 1,407.60, 1,942.47 and 778.14

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Solution

The fourth proportional to 1,407.60, 1,942.47 and 778.14 is: 1,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.60 : 1,942.47 = 778.14 : x
  2. Step 2: Convert to fraction form
    1,407.60/1,942.47 = 778.14/x
  3. Step 3: Cross multiply
    1,407.60x = 1,942.47 × 778.14
  4. Step 4: Simplify right side
    1,407.60x = 1,511,513.61
  5. Step 5: Solve for x
    x = 1,511,513.61/1,407.60
  6. Step 6: Final answer
    x = 1,073.82

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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.