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Finding the Fourth Proportional to 917.24, 1,265.37 and 585.50

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Solution

The fourth proportional to 917.24, 1,265.37 and 585.50 is: 807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.24 : 1,265.37 = 585.50 : x
  2. Step 2: Convert to fraction form
    917.24/1,265.37 = 585.50/x
  3. Step 3: Cross multiply
    917.24x = 1,265.37 × 585.50
  4. Step 4: Simplify right side
    917.24x = 740,874.14
  5. Step 5: Solve for x
    x = 740,874.14/917.24
  6. Step 6: Final answer
    x = 807.72

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