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Finding the Fourth Proportional to 1,411.62, 1,948.02 and 782.14

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Solution

The fourth proportional to 1,411.62, 1,948.02 and 782.14 is: 1,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.62 : 1,948.02 = 782.14 : x
  2. Step 2: Convert to fraction form
    1,411.62/1,948.02 = 782.14/x
  3. Step 3: Cross multiply
    1,411.62x = 1,948.02 × 782.14
  4. Step 4: Simplify right side
    1,411.62x = 1,523,624.36
  5. Step 5: Solve for x
    x = 1,523,624.36/1,411.62
  6. Step 6: Final answer
    x = 1,079.34

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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.