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Finding the Fourth Proportional to 675.29, 1,012.50 and 545.45

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Solution

The fourth proportional to 675.29, 1,012.50 and 545.45 is: 817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.29 : 1,012.50 = 545.45 : x
  2. Step 2: Convert to fraction form
    675.29/1,012.50 = 545.45/x
  3. Step 3: Cross multiply
    675.29x = 1,012.50 × 545.45
  4. Step 4: Simplify right side
    675.29x = 552,268.13
  5. Step 5: Solve for x
    x = 552,268.13/675.29
  6. Step 6: Final answer
    x = 817.82

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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.