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Finding the Fourth Proportional to 1,106.71, 1,526.44 and 713.05

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Solution

The fourth proportional to 1,106.71, 1,526.44 and 713.05 is: 983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.71 : 1,526.44 = 713.05 : x
  2. Step 2: Convert to fraction form
    1,106.71/1,526.44 = 713.05/x
  3. Step 3: Cross multiply
    1,106.71x = 1,526.44 × 713.05
  4. Step 4: Simplify right side
    1,106.71x = 1,088,428.04
  5. Step 5: Solve for x
    x = 1,088,428.04/1,106.71
  6. Step 6: Final answer
    x = 983.48

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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.