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Finding the Fourth Proportional to 1,106.80, 1,527.04 and 713.12

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Solution

The fourth proportional to 1,106.80, 1,527.04 and 713.12 is: 983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.80 : 1,527.04 = 713.12 : x
  2. Step 2: Convert to fraction form
    1,106.80/1,527.04 = 713.12/x
  3. Step 3: Cross multiply
    1,106.80x = 1,527.04 × 713.12
  4. Step 4: Simplify right side
    1,106.80x = 1,088,962.76
  5. Step 5: Solve for x
    x = 1,088,962.76/1,106.80
  6. Step 6: Final answer
    x = 983.88

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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.