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Finding the Fourth Proportional to 898.12, 1,345.90 and 486.92

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Solution

The fourth proportional to 898.12, 1,345.90 and 486.92 is: 729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.12 : 1,345.90 = 486.92 : x
  2. Step 2: Convert to fraction form
    898.12/1,345.90 = 486.92/x
  3. Step 3: Cross multiply
    898.12x = 1,345.90 × 486.92
  4. Step 4: Simplify right side
    898.12x = 655,345.63
  5. Step 5: Solve for x
    x = 655,345.63/898.12
  6. Step 6: Final answer
    x = 729.69

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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.