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Finding the Fourth Proportional to 944.34, 1,303.17 and 524.68

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Solution

The fourth proportional to 944.34, 1,303.17 and 524.68 is: 724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.34 : 1,303.17 = 524.68 : x
  2. Step 2: Convert to fraction form
    944.34/1,303.17 = 524.68/x
  3. Step 3: Cross multiply
    944.34x = 1,303.17 × 524.68
  4. Step 4: Simplify right side
    944.34x = 683,744.61
  5. Step 5: Solve for x
    x = 683,744.61/944.34
  6. Step 6: Final answer
    x = 724.05

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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.