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Finding the Fourth Proportional to 992.05, 1,488.58 and 684.15

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Solution

The fourth proportional to 992.05, 1,488.58 and 684.15 is: 1,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.05 : 1,488.58 = 684.15 : x
  2. Step 2: Convert to fraction form
    992.05/1,488.58 = 684.15/x
  3. Step 3: Cross multiply
    992.05x = 1,488.58 × 684.15
  4. Step 4: Simplify right side
    992.05x = 1,018,404.71
  5. Step 5: Solve for x
    x = 1,018,404.71/992.05
  6. Step 6: Final answer
    x = 1,026.57

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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.