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Finding the Fourth Proportional to 929.55, 1,275.95 and 822.29

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Solution

The fourth proportional to 929.55, 1,275.95 and 822.29 is: 1,128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.55 : 1,275.95 = 822.29 : x
  2. Step 2: Convert to fraction form
    929.55/1,275.95 = 822.29/x
  3. Step 3: Cross multiply
    929.55x = 1,275.95 × 822.29
  4. Step 4: Simplify right side
    929.55x = 1,049,200.93
  5. Step 5: Solve for x
    x = 1,049,200.93/929.55
  6. Step 6: Final answer
    x = 1,128.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.