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Finding the Fourth Proportional to 696.74, 1,039.03 and 594.66

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Solution

The fourth proportional to 696.74, 1,039.03 and 594.66 is: 886.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.74 : 1,039.03 = 594.66 : x
  2. Step 2: Convert to fraction form
    696.74/1,039.03 = 594.66/x
  3. Step 3: Cross multiply
    696.74x = 1,039.03 × 594.66
  4. Step 4: Simplify right side
    696.74x = 617,866.61
  5. Step 5: Solve for x
    x = 617,866.61/696.74
  6. Step 6: Final answer
    x = 886.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.