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Finding the Fourth Proportional to 929.04, 1,282.62 and 580.20

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Solution

The fourth proportional to 929.04, 1,282.62 and 580.20 is: 801.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.04 : 1,282.62 = 580.20 : x
  2. Step 2: Convert to fraction form
    929.04/1,282.62 = 580.20/x
  3. Step 3: Cross multiply
    929.04x = 1,282.62 × 580.20
  4. Step 4: Simplify right side
    929.04x = 744,176.12
  5. Step 5: Solve for x
    x = 744,176.12/929.04
  6. Step 6: Final answer
    x = 801.02

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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.