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Finding the Fourth Proportional to 992.80, 1,490.40 and 554.40

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Solution

The fourth proportional to 992.80, 1,490.40 and 554.40 is: 832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.80 : 1,490.40 = 554.40 : x
  2. Step 2: Convert to fraction form
    992.80/1,490.40 = 554.40/x
  3. Step 3: Cross multiply
    992.80x = 1,490.40 × 554.40
  4. Step 4: Simplify right side
    992.80x = 826,277.76
  5. Step 5: Solve for x
    x = 826,277.76/992.80
  6. Step 6: Final answer
    x = 832.27

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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.