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Finding the Fourth Proportional to 917.86, 1,265.88 and 586.30

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Solution

The fourth proportional to 917.86, 1,265.88 and 586.30 is: 808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.86 : 1,265.88 = 586.30 : x
  2. Step 2: Convert to fraction form
    917.86/1,265.88 = 586.30/x
  3. Step 3: Cross multiply
    917.86x = 1,265.88 × 586.30
  4. Step 4: Simplify right side
    917.86x = 742,185.44
  5. Step 5: Solve for x
    x = 742,185.44/917.86
  6. Step 6: Final answer
    x = 808.60

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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.