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Finding the Fourth Proportional to 1,531.98, 2,114.14 and 868.84

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Solution

The fourth proportional to 1,531.98, 2,114.14 and 868.84 is: 1,199.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.98 : 2,114.14 = 868.84 : x
  2. Step 2: Convert to fraction form
    1,531.98/2,114.14 = 868.84/x
  3. Step 3: Cross multiply
    1,531.98x = 2,114.14 × 868.84
  4. Step 4: Simplify right side
    1,531.98x = 1,836,849.40
  5. Step 5: Solve for x
    x = 1,836,849.40/1,531.98
  6. Step 6: Final answer
    x = 1,199.00

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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.