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Finding the Fourth Proportional to 929.48, 1,283.12 and 536.42

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Solution

The fourth proportional to 929.48, 1,283.12 and 536.42 is: 740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.48 : 1,283.12 = 536.42 : x
  2. Step 2: Convert to fraction form
    929.48/1,283.12 = 536.42/x
  3. Step 3: Cross multiply
    929.48x = 1,283.12 × 536.42
  4. Step 4: Simplify right side
    929.48x = 688,282.13
  5. Step 5: Solve for x
    x = 688,282.13/929.48
  6. Step 6: Final answer
    x = 740.51

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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.