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Finding the Fourth Proportional to 1,016.47, 1,525.16 and 468.36

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Solution

The fourth proportional to 1,016.47, 1,525.16 and 468.36 is: 702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.47 : 1,525.16 = 468.36 : x
  2. Step 2: Convert to fraction form
    1,016.47/1,525.16 = 468.36/x
  3. Step 3: Cross multiply
    1,016.47x = 1,525.16 × 468.36
  4. Step 4: Simplify right side
    1,016.47x = 714,325.11
  5. Step 5: Solve for x
    x = 714,325.11/1,016.47
  6. Step 6: Final answer
    x = 702.75

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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.