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Finding the Fourth Proportional to 929.48, 1,282.43 and 597.78

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Solution

The fourth proportional to 929.48, 1,282.43 and 597.78 is: 824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.48 : 1,282.43 = 597.78 : x
  2. Step 2: Convert to fraction form
    929.48/1,282.43 = 597.78/x
  3. Step 3: Cross multiply
    929.48x = 1,282.43 × 597.78
  4. Step 4: Simplify right side
    929.48x = 766,612.50
  5. Step 5: Solve for x
    x = 766,612.50/929.48
  6. Step 6: Final answer
    x = 824.78

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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.