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Finding the Fourth Proportional to 917.26, 1,374.45 and 709.53

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Solution

The fourth proportional to 917.26, 1,374.45 and 709.53 is: 1,063.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.26 : 1,374.45 = 709.53 : x
  2. Step 2: Convert to fraction form
    917.26/1,374.45 = 709.53/x
  3. Step 3: Cross multiply
    917.26x = 1,374.45 × 709.53
  4. Step 4: Simplify right side
    917.26x = 975,209.96
  5. Step 5: Solve for x
    x = 975,209.96/917.26
  6. Step 6: Final answer
    x = 1,063.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.