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Finding the Fourth Proportional to 1,016.70, 1,525.84 and 468.94

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Solution

The fourth proportional to 1,016.70, 1,525.84 and 468.94 is: 703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.70 : 1,525.84 = 468.94 : x
  2. Step 2: Convert to fraction form
    1,016.70/1,525.84 = 468.94/x
  3. Step 3: Cross multiply
    1,016.70x = 1,525.84 × 468.94
  4. Step 4: Simplify right side
    1,016.70x = 715,525.28
  5. Step 5: Solve for x
    x = 715,525.28/1,016.70
  6. Step 6: Final answer
    x = 703.77

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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.