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Finding the Fourth Proportional to 917.64, 1,265.76 and 585.72

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Solution

The fourth proportional to 917.64, 1,265.76 and 585.72 is: 807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.64 : 1,265.76 = 585.72 : x
  2. Step 2: Convert to fraction form
    917.64/1,265.76 = 585.72/x
  3. Step 3: Cross multiply
    917.64x = 1,265.76 × 585.72
  4. Step 4: Simplify right side
    917.64x = 741,380.95
  5. Step 5: Solve for x
    x = 741,380.95/917.64
  6. Step 6: Final answer
    x = 807.92

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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.