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Finding the Fourth Proportional to 795.95, 1,098.15 and 446.57

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Solution

The fourth proportional to 795.95, 1,098.15 and 446.57 is: 616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.95 : 1,098.15 = 446.57 : x
  2. Step 2: Convert to fraction form
    795.95/1,098.15 = 446.57/x
  3. Step 3: Cross multiply
    795.95x = 1,098.15 × 446.57
  4. Step 4: Simplify right side
    795.95x = 490,400.85
  5. Step 5: Solve for x
    x = 490,400.85/795.95
  6. Step 6: Final answer
    x = 616.12

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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.