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Finding the Fourth Proportional to 929.39, 1,283.11 and 580.55

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Solution

The fourth proportional to 929.39, 1,283.11 and 580.55 is: 801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.39 : 1,283.11 = 580.55 : x
  2. Step 2: Convert to fraction form
    929.39/1,283.11 = 580.55/x
  3. Step 3: Cross multiply
    929.39x = 1,283.11 × 580.55
  4. Step 4: Simplify right side
    929.39x = 744,901.64
  5. Step 5: Solve for x
    x = 744,901.64/929.39
  6. Step 6: Final answer
    x = 801.50

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1.5x scale

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.