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Finding the Fourth Proportional to 1,291.08, 1,935.59 and 560.15

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Solution

The fourth proportional to 1,291.08, 1,935.59 and 560.15 is: 839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.08 : 1,935.59 = 560.15 : x
  2. Step 2: Convert to fraction form
    1,291.08/1,935.59 = 560.15/x
  3. Step 3: Cross multiply
    1,291.08x = 1,935.59 × 560.15
  4. Step 4: Simplify right side
    1,291.08x = 1,084,208.26
  5. Step 5: Solve for x
    x = 1,084,208.26/1,291.08
  6. Step 6: Final answer
    x = 839.77

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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.