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Finding the Fourth Proportional to 1,387.46, 2,079.70 and 692.76

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Solution

The fourth proportional to 1,387.46, 2,079.70 and 692.76 is: 1,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.46 : 2,079.70 = 692.76 : x
  2. Step 2: Convert to fraction form
    1,387.46/2,079.70 = 692.76/x
  3. Step 3: Cross multiply
    1,387.46x = 2,079.70 × 692.76
  4. Step 4: Simplify right side
    1,387.46x = 1,440,732.97
  5. Step 5: Solve for x
    x = 1,440,732.97/1,387.46
  6. Step 6: Final answer
    x = 1,038.40

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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.