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Finding the Fourth Proportional to 1,016.03, 1,523.13 and 467.93

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Solution

The fourth proportional to 1,016.03, 1,523.13 and 467.93 is: 701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.03 : 1,523.13 = 467.93 : x
  2. Step 2: Convert to fraction form
    1,016.03/1,523.13 = 467.93/x
  3. Step 3: Cross multiply
    1,016.03x = 1,523.13 × 467.93
  4. Step 4: Simplify right side
    1,016.03x = 712,718.22
  5. Step 5: Solve for x
    x = 712,718.22/1,016.03
  6. Step 6: Final answer
    x = 701.47

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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.