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Finding the Fourth Proportional to 929.74, 1,283.08 and 536.76

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Solution

The fourth proportional to 929.74, 1,283.08 and 536.76 is: 740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.74 : 1,283.08 = 536.76 : x
  2. Step 2: Convert to fraction form
    929.74/1,283.08 = 536.76/x
  3. Step 3: Cross multiply
    929.74x = 1,283.08 × 536.76
  4. Step 4: Simplify right side
    929.74x = 688,706.02
  5. Step 5: Solve for x
    x = 688,706.02/929.74
  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.