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Finding the Fourth Proportional to 1,488.80, 2,232.45 and 501.21

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Solution

The fourth proportional to 1,488.80, 2,232.45 and 501.21 is: 751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.80 : 2,232.45 = 501.21 : x
  2. Step 2: Convert to fraction form
    1,488.80/2,232.45 = 501.21/x
  3. Step 3: Cross multiply
    1,488.80x = 2,232.45 × 501.21
  4. Step 4: Simplify right side
    1,488.80x = 1,118,926.26
  5. Step 5: Solve for x
    x = 1,118,926.26/1,488.80
  6. Step 6: Final answer
    x = 751.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.