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Finding the Fourth Proportional to 917.46, 1,266.13 and 524.38

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Solution

The fourth proportional to 917.46, 1,266.13 and 524.38 is: 723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.46 : 1,266.13 = 524.38 : x
  2. Step 2: Convert to fraction form
    917.46/1,266.13 = 524.38/x
  3. Step 3: Cross multiply
    917.46x = 1,266.13 × 524.38
  4. Step 4: Simplify right side
    917.46x = 663,933.25
  5. Step 5: Solve for x
    x = 663,933.25/917.46
  6. Step 6: Final answer
    x = 723.66

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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.