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Finding the Fourth Proportional to 929.42, 1,282.68 and 536.57

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Solution

The fourth proportional to 929.42, 1,282.68 and 536.57 is: 740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.42 : 1,282.68 = 536.57 : x
  2. Step 2: Convert to fraction form
    929.42/1,282.68 = 536.57/x
  3. Step 3: Cross multiply
    929.42x = 1,282.68 × 536.57
  4. Step 4: Simplify right side
    929.42x = 688,247.61
  5. Step 5: Solve for x
    x = 688,247.61/929.42
  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.