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Finding the Fourth Proportional to 929.89, 1,283.24 and 536.91

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Solution

The fourth proportional to 929.89, 1,283.24 and 536.91 is: 740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.89 : 1,283.24 = 536.91 : x
  2. Step 2: Convert to fraction form
    929.89/1,283.24 = 536.91/x
  3. Step 3: Cross multiply
    929.89x = 1,283.24 × 536.91
  4. Step 4: Simplify right side
    929.89x = 688,984.39
  5. Step 5: Solve for x
    x = 688,984.39/929.89
  6. Step 6: Final answer
    x = 740.93

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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.