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Finding the Fourth Proportional to 1,712.33, 2,567.96 and 616.55

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Solution

The fourth proportional to 1,712.33, 2,567.96 and 616.55 is: 924.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.33 : 2,567.96 = 616.55 : x
  2. Step 2: Convert to fraction form
    1,712.33/2,567.96 = 616.55/x
  3. Step 3: Cross multiply
    1,712.33x = 2,567.96 × 616.55
  4. Step 4: Simplify right side
    1,712.33x = 1,583,283.70
  5. Step 5: Solve for x
    x = 1,583,283.70/1,712.33
  6. Step 6: Final answer
    x = 924.64

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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.