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Finding the Fourth Proportional to 921.60, 1,271.76 and 572.16

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Solution

The fourth proportional to 921.60, 1,271.76 and 572.16 is: 789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.60 : 1,271.76 = 572.16 : x
  2. Step 2: Convert to fraction form
    921.60/1,271.76 = 572.16/x
  3. Step 3: Cross multiply
    921.60x = 1,271.76 × 572.16
  4. Step 4: Simplify right side
    921.60x = 727,650.20
  5. Step 5: Solve for x
    x = 727,650.20/921.60
  6. Step 6: Final answer
    x = 789.55

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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.