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Finding the Fourth Proportional to 917.34, 1,265.88 and 524.35

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Solution

The fourth proportional to 917.34, 1,265.88 and 524.35 is: 723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.34 : 1,265.88 = 524.35 : x
  2. Step 2: Convert to fraction form
    917.34/1,265.88 = 524.35/x
  3. Step 3: Cross multiply
    917.34x = 1,265.88 × 524.35
  4. Step 4: Simplify right side
    917.34x = 663,764.18
  5. Step 5: Solve for x
    x = 663,764.18/917.34
  6. Step 6: Final answer
    x = 723.57

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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.