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Finding the Fourth Proportional to 929.28, 1,281.80 and 597.18

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Solution

The fourth proportional to 929.28, 1,281.80 and 597.18 is: 823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.28 : 1,281.80 = 597.18 : x
  2. Step 2: Convert to fraction form
    929.28/1,281.80 = 597.18/x
  3. Step 3: Cross multiply
    929.28x = 1,281.80 × 597.18
  4. Step 4: Simplify right side
    929.28x = 765,465.32
  5. Step 5: Solve for x
    x = 765,465.32/929.28
  6. Step 6: Final answer
    x = 823.72

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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.