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Finding the Fourth Proportional to 1,534.59, 2,302.56 and 560.84

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Solution

The fourth proportional to 1,534.59, 2,302.56 and 560.84 is: 841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.59 : 2,302.56 = 560.84 : x
  2. Step 2: Convert to fraction form
    1,534.59/2,302.56 = 560.84/x
  3. Step 3: Cross multiply
    1,534.59x = 2,302.56 × 560.84
  4. Step 4: Simplify right side
    1,534.59x = 1,291,356.24
  5. Step 5: Solve for x
    x = 1,291,356.24/1,534.59
  6. Step 6: Final answer
    x = 841.50

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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.