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Finding the Fourth Proportional to 1,591.32, 2,386.98 and 769.44

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Solution

The fourth proportional to 1,591.32, 2,386.98 and 769.44 is: 1,154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.32 : 2,386.98 = 769.44 : x
  2. Step 2: Convert to fraction form
    1,591.32/2,386.98 = 769.44/x
  3. Step 3: Cross multiply
    1,591.32x = 2,386.98 × 769.44
  4. Step 4: Simplify right side
    1,591.32x = 1,836,637.89
  5. Step 5: Solve for x
    x = 1,836,637.89/1,591.32
  6. Step 6: Final answer
    x = 1,154.16

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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.