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Finding the Fourth Proportional to 658.76, 992.07 and 594.50

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Solution

The fourth proportional to 658.76, 992.07 and 594.50 is: 895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.76 : 992.07 = 594.50 : x
  2. Step 2: Convert to fraction form
    658.76/992.07 = 594.50/x
  3. Step 3: Cross multiply
    658.76x = 992.07 × 594.50
  4. Step 4: Simplify right side
    658.76x = 589,780.65
  5. Step 5: Solve for x
    x = 589,780.65/658.76
  6. Step 6: Final answer
    x = 895.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.