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Finding the Fourth Proportional to 928.64, 1,281.25 and 597.45

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Solution

The fourth proportional to 928.64, 1,281.25 and 597.45 is: 824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.64 : 1,281.25 = 597.45 : x
  2. Step 2: Convert to fraction form
    928.64/1,281.25 = 597.45/x
  3. Step 3: Cross multiply
    928.64x = 1,281.25 × 597.45
  4. Step 4: Simplify right side
    928.64x = 765,479.83
  5. Step 5: Solve for x
    x = 765,479.83/928.64
  6. Step 6: Final answer
    x = 824.30

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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.