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Finding the Fourth Proportional to 917.06, 1,265.85 and 567.86

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Solution

The fourth proportional to 917.06, 1,265.85 and 567.86 is: 783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.06 : 1,265.85 = 567.86 : x
  2. Step 2: Convert to fraction form
    917.06/1,265.85 = 567.86/x
  3. Step 3: Cross multiply
    917.06x = 1,265.85 × 567.86
  4. Step 4: Simplify right side
    917.06x = 718,825.58
  5. Step 5: Solve for x
    x = 718,825.58/917.06
  6. Step 6: Final answer
    x = 783.84

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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.