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Finding the Fourth Proportional to 921.20, 1,379.75 and 530.28

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Solution

The fourth proportional to 921.20, 1,379.75 and 530.28 is: 794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.20 : 1,379.75 = 530.28 : x
  2. Step 2: Convert to fraction form
    921.20/1,379.75 = 530.28/x
  3. Step 3: Cross multiply
    921.20x = 1,379.75 × 530.28
  4. Step 4: Simplify right side
    921.20x = 731,655.16
  5. Step 5: Solve for x
    x = 731,655.16/921.20
  6. Step 6: Final answer
    x = 794.24

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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.