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Finding the Fourth Proportional to 1,098.95, 1,648.43 and 690.68

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Solution

The fourth proportional to 1,098.95, 1,648.43 and 690.68 is: 1,036.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.95 : 1,648.43 = 690.68 : x
  2. Step 2: Convert to fraction form
    1,098.95/1,648.43 = 690.68/x
  3. Step 3: Cross multiply
    1,098.95x = 1,648.43 × 690.68
  4. Step 4: Simplify right side
    1,098.95x = 1,138,525.94
  5. Step 5: Solve for x
    x = 1,138,525.94/1,098.95
  6. Step 6: Final answer
    x = 1,036.02

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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.