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Finding the Fourth Proportional to 798.61, 1,101.96 and 462.37

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Solution

The fourth proportional to 798.61, 1,101.96 and 462.37 is: 638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.61 : 1,101.96 = 462.37 : x
  2. Step 2: Convert to fraction form
    798.61/1,101.96 = 462.37/x
  3. Step 3: Cross multiply
    798.61x = 1,101.96 × 462.37
  4. Step 4: Simplify right side
    798.61x = 509,513.25
  5. Step 5: Solve for x
    x = 509,513.25/798.61
  6. Step 6: Final answer
    x = 638.00

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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.