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Finding the Fourth Proportional to 929.09, 1,281.42 and 597.55

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Solution

The fourth proportional to 929.09, 1,281.42 and 597.55 is: 824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.09 : 1,281.42 = 597.55 : x
  2. Step 2: Convert to fraction form
    929.09/1,281.42 = 597.55/x
  3. Step 3: Cross multiply
    929.09x = 1,281.42 × 597.55
  4. Step 4: Simplify right side
    929.09x = 765,709.32
  5. Step 5: Solve for x
    x = 765,709.32/929.09
  6. Step 6: Final answer
    x = 824.15

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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.