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Finding the Fourth Proportional to 1,425.48, 2,139.36 and 560.40

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Solution

The fourth proportional to 1,425.48, 2,139.36 and 560.40 is: 841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.48 : 2,139.36 = 560.40 : x
  2. Step 2: Convert to fraction form
    1,425.48/2,139.36 = 560.40/x
  3. Step 3: Cross multiply
    1,425.48x = 2,139.36 × 560.40
  4. Step 4: Simplify right side
    1,425.48x = 1,198,897.34
  5. Step 5: Solve for x
    x = 1,198,897.34/1,425.48
  6. Step 6: Final answer
    x = 841.05

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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.