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Finding the Fourth Proportional to 1,016.61, 1,523.08 and 530.20

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Solution

The fourth proportional to 1,016.61, 1,523.08 and 530.20 is: 794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.61 : 1,523.08 = 530.20 : x
  2. Step 2: Convert to fraction form
    1,016.61/1,523.08 = 530.20/x
  3. Step 3: Cross multiply
    1,016.61x = 1,523.08 × 530.20
  4. Step 4: Simplify right side
    1,016.61x = 807,537.02
  5. Step 5: Solve for x
    x = 807,537.02/1,016.61
  6. Step 6: Final answer
    x = 794.34

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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.