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Finding the Fourth Proportional to 1,002.88, 1,491.84 and 992.36

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Solution

The fourth proportional to 1,002.88, 1,491.84 and 992.36 is: 1,476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.88 : 1,491.84 = 992.36 : x
  2. Step 2: Convert to fraction form
    1,002.88/1,491.84 = 992.36/x
  3. Step 3: Cross multiply
    1,002.88x = 1,491.84 × 992.36
  4. Step 4: Simplify right side
    1,002.88x = 1,480,442.34
  5. Step 5: Solve for x
    x = 1,480,442.34/1,002.88
  6. Step 6: Final answer
    x = 1,476.19

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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.