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Finding the Fourth Proportional to 1,527.08, 2,106.98 and 863.91

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Solution

The fourth proportional to 1,527.08, 2,106.98 and 863.91 is: 1,191.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.08 : 2,106.98 = 863.91 : x
  2. Step 2: Convert to fraction form
    1,527.08/2,106.98 = 863.91/x
  3. Step 3: Cross multiply
    1,527.08x = 2,106.98 × 863.91
  4. Step 4: Simplify right side
    1,527.08x = 1,820,243.25
  5. Step 5: Solve for x
    x = 1,820,243.25/1,527.08
  6. Step 6: Final answer
    x = 1,191.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.