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Finding the Fourth Proportional to 992.50, 1,488.75 and 384.50

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Solution

The fourth proportional to 992.50, 1,488.75 and 384.50 is: 576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.50 : 1,488.75 = 384.50 : x
  2. Step 2: Convert to fraction form
    992.50/1,488.75 = 384.50/x
  3. Step 3: Cross multiply
    992.50x = 1,488.75 × 384.50
  4. Step 4: Simplify right side
    992.50x = 572,424.38
  5. Step 5: Solve for x
    x = 572,424.38/992.50
  6. Step 6: Final answer
    x = 576.75

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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.