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Finding the Fourth Proportional to 1,290.72, 1,935.72 and 560.10

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Solution

The fourth proportional to 1,290.72, 1,935.72 and 560.10 is: 839.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.72 : 1,935.72 = 560.10 : x
  2. Step 2: Convert to fraction form
    1,290.72/1,935.72 = 560.10/x
  3. Step 3: Cross multiply
    1,290.72x = 1,935.72 × 560.10
  4. Step 4: Simplify right side
    1,290.72x = 1,084,196.77
  5. Step 5: Solve for x
    x = 1,084,196.77/1,290.72
  6. Step 6: Final answer
    x = 839.99

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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.