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Finding the Fourth Proportional to 929.72, 1,283.01 and 536.78

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Solution

The fourth proportional to 929.72, 1,283.01 and 536.78 is: 740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.72 : 1,283.01 = 536.78 : x
  2. Step 2: Convert to fraction form
    929.72/1,283.01 = 536.78/x
  3. Step 3: Cross multiply
    929.72x = 1,283.01 × 536.78
  4. Step 4: Simplify right side
    929.72x = 688,694.11
  5. Step 5: Solve for x
    x = 688,694.11/929.72
  6. Step 6: Final answer
    x = 740.75

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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.