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Finding the Fourth Proportional to 1,534.62, 2,300.54 and 560.04

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Solution

The fourth proportional to 1,534.62, 2,300.54 and 560.04 is: 839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.62 : 2,300.54 = 560.04 : x
  2. Step 2: Convert to fraction form
    1,534.62/2,300.54 = 560.04/x
  3. Step 3: Cross multiply
    1,534.62x = 2,300.54 × 560.04
  4. Step 4: Simplify right side
    1,534.62x = 1,288,394.42
  5. Step 5: Solve for x
    x = 1,288,394.42/1,534.62
  6. Step 6: Final answer
    x = 839.55

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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.