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Finding the Fourth Proportional to 684.17, 944.62 and 526.53

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Solution

The fourth proportional to 684.17, 944.62 and 526.53 is: 726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.17 : 944.62 = 526.53 : x
  2. Step 2: Convert to fraction form
    684.17/944.62 = 526.53/x
  3. Step 3: Cross multiply
    684.17x = 944.62 × 526.53
  4. Step 4: Simplify right side
    684.17x = 497,365.77
  5. Step 5: Solve for x
    x = 497,365.77/684.17
  6. Step 6: Final answer
    x = 726.96

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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.