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Finding the Fourth Proportional to 1,560.98, 2,341.46 and 636.52

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Solution

The fourth proportional to 1,560.98, 2,341.46 and 636.52 is: 954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.98 : 2,341.46 = 636.52 : x
  2. Step 2: Convert to fraction form
    1,560.98/2,341.46 = 636.52/x
  3. Step 3: Cross multiply
    1,560.98x = 2,341.46 × 636.52
  4. Step 4: Simplify right side
    1,560.98x = 1,490,386.12
  5. Step 5: Solve for x
    x = 1,490,386.12/1,560.98
  6. Step 6: Final answer
    x = 954.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.