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Finding the Fourth Proportional to 718.26, 1,075.85 and 542.99

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Solution

The fourth proportional to 718.26, 1,075.85 and 542.99 is: 813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.26 : 1,075.85 = 542.99 : x
  2. Step 2: Convert to fraction form
    718.26/1,075.85 = 542.99/x
  3. Step 3: Cross multiply
    718.26x = 1,075.85 × 542.99
  4. Step 4: Simplify right side
    718.26x = 584,177.80
  5. Step 5: Solve for x
    x = 584,177.80/718.26
  6. Step 6: Final answer
    x = 813.33

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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.