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Finding the Fourth Proportional to 898.96, 1,239.96 and 567.80

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Solution

The fourth proportional to 898.96, 1,239.96 and 567.80 is: 783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.96 : 1,239.96 = 567.80 : x
  2. Step 2: Convert to fraction form
    898.96/1,239.96 = 567.80/x
  3. Step 3: Cross multiply
    898.96x = 1,239.96 × 567.80
  4. Step 4: Simplify right side
    898.96x = 704,049.29
  5. Step 5: Solve for x
    x = 704,049.29/898.96
  6. Step 6: Final answer
    x = 783.18

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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.