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Finding the Fourth Proportional to 1,014.97, 1,521.97 and 466.99

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Solution

The fourth proportional to 1,014.97, 1,521.97 and 466.99 is: 700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.97 : 1,521.97 = 466.99 : x
  2. Step 2: Convert to fraction form
    1,014.97/1,521.97 = 466.99/x
  3. Step 3: Cross multiply
    1,014.97x = 1,521.97 × 466.99
  4. Step 4: Simplify right side
    1,014.97x = 710,744.77
  5. Step 5: Solve for x
    x = 710,744.77/1,014.97
  6. Step 6: Final answer
    x = 700.26

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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.