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Finding the Fourth Proportional to 708.50, 1,064.14 and 599.76

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Solution

The fourth proportional to 708.50, 1,064.14 and 599.76 is: 900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.50 : 1,064.14 = 599.76 : x
  2. Step 2: Convert to fraction form
    708.50/1,064.14 = 599.76/x
  3. Step 3: Cross multiply
    708.50x = 1,064.14 × 599.76
  4. Step 4: Simplify right side
    708.50x = 638,228.61
  5. Step 5: Solve for x
    x = 638,228.61/708.50
  6. Step 6: Final answer
    x = 900.82

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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.