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Finding the Fourth Proportional to 928.94, 1,282.01 and 597.15

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Solution

The fourth proportional to 928.94, 1,282.01 and 597.15 is: 824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.94 : 1,282.01 = 597.15 : x
  2. Step 2: Convert to fraction form
    928.94/1,282.01 = 597.15/x
  3. Step 3: Cross multiply
    928.94x = 1,282.01 × 597.15
  4. Step 4: Simplify right side
    928.94x = 765,549.29
  5. Step 5: Solve for x
    x = 765,549.29/928.94
  6. Step 6: Final answer
    x = 824.12

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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.