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Finding the Fourth Proportional to 1,654.75, 2,482.13 and 500.50

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Solution

The fourth proportional to 1,654.75, 2,482.13 and 500.50 is: 750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.75 : 2,482.13 = 500.50 : x
  2. Step 2: Convert to fraction form
    1,654.75/2,482.13 = 500.50/x
  3. Step 3: Cross multiply
    1,654.75x = 2,482.13 × 500.50
  4. Step 4: Simplify right side
    1,654.75x = 1,242,306.07
  5. Step 5: Solve for x
    x = 1,242,306.07/1,654.75
  6. Step 6: Final answer
    x = 750.75

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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.