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Finding the Fourth Proportional to 1,534.68, 2,301.75 and 560.79

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Solution

The fourth proportional to 1,534.68, 2,301.75 and 560.79 is: 841.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.68 : 2,301.75 = 560.79 : x
  2. Step 2: Convert to fraction form
    1,534.68/2,301.75 = 560.79/x
  3. Step 3: Cross multiply
    1,534.68x = 2,301.75 × 560.79
  4. Step 4: Simplify right side
    1,534.68x = 1,290,798.38
  5. Step 5: Solve for x
    x = 1,290,798.38/1,534.68
  6. Step 6: Final answer
    x = 841.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.