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Finding the Fourth Proportional to 718.46, 1,075.74 and 571.52

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Solution

The fourth proportional to 718.46, 1,075.74 and 571.52 is: 855.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.46 : 1,075.74 = 571.52 : x
  2. Step 2: Convert to fraction form
    718.46/1,075.74 = 571.52/x
  3. Step 3: Cross multiply
    718.46x = 1,075.74 × 571.52
  4. Step 4: Simplify right side
    718.46x = 614,806.92
  5. Step 5: Solve for x
    x = 614,806.92/718.46
  6. Step 6: Final answer
    x = 855.73

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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.