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Finding the Fourth Proportional to 992.90, 1,488.54 and 506.54

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Solution

The fourth proportional to 992.90, 1,488.54 and 506.54 is: 759.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.90 : 1,488.54 = 506.54 : x
  2. Step 2: Convert to fraction form
    992.90/1,488.54 = 506.54/x
  3. Step 3: Cross multiply
    992.90x = 1,488.54 × 506.54
  4. Step 4: Simplify right side
    992.90x = 754,005.05
  5. Step 5: Solve for x
    x = 754,005.05/992.90
  6. Step 6: Final answer
    x = 759.40

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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.