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Finding the Fourth Proportional to 929.68, 1,282.56 and 598

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Solution

The fourth proportional to 929.68, 1,282.56 and 598 is: 824.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.68 : 1,282.56 = 598 : x
  2. Step 2: Convert to fraction form
    929.68/1,282.56 = 598/x
  3. Step 3: Cross multiply
    929.68x = 1,282.56 × 598
  4. Step 4: Simplify right side
    929.68x = 766,970.88
  5. Step 5: Solve for x
    x = 766,970.88/929.68
  6. Step 6: Final answer
    x = 824.98

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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.