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Finding the Fourth Proportional to 914.07, 1,261.41 and 560.61

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Solution

The fourth proportional to 914.07, 1,261.41 and 560.61 is: 773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.07 : 1,261.41 = 560.61 : x
  2. Step 2: Convert to fraction form
    914.07/1,261.41 = 560.61/x
  3. Step 3: Cross multiply
    914.07x = 1,261.41 × 560.61
  4. Step 4: Simplify right side
    914.07x = 707,159.06
  5. Step 5: Solve for x
    x = 707,159.06/914.07
  6. Step 6: Final answer
    x = 773.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.