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Finding the Fourth Proportional to 1,130.05, 1,691.88 and 718.17

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Solution

The fourth proportional to 1,130.05, 1,691.88 and 718.17 is: 1,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.05 : 1,691.88 = 718.17 : x
  2. Step 2: Convert to fraction form
    1,130.05/1,691.88 = 718.17/x
  3. Step 3: Cross multiply
    1,130.05x = 1,691.88 × 718.17
  4. Step 4: Simplify right side
    1,130.05x = 1,215,049.00
  5. Step 5: Solve for x
    x = 1,215,049.00/1,130.05
  6. Step 6: Final answer
    x = 1,075.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.