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Finding the Fourth Proportional to 632.89, 944.69 and 586.57

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Solution

The fourth proportional to 632.89, 944.69 and 586.57 is: 875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.89 : 944.69 = 586.57 : x
  2. Step 2: Convert to fraction form
    632.89/944.69 = 586.57/x
  3. Step 3: Cross multiply
    632.89x = 944.69 × 586.57
  4. Step 4: Simplify right side
    632.89x = 554,126.81
  5. Step 5: Solve for x
    x = 554,126.81/632.89
  6. Step 6: Final answer
    x = 875.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.