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Finding the Fourth Proportional to 1,069.46, 1,602.06 and 703.14

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Solution

The fourth proportional to 1,069.46, 1,602.06 and 703.14 is: 1,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.46 : 1,602.06 = 703.14 : x
  2. Step 2: Convert to fraction form
    1,069.46/1,602.06 = 703.14/x
  3. Step 3: Cross multiply
    1,069.46x = 1,602.06 × 703.14
  4. Step 4: Simplify right side
    1,069.46x = 1,126,472.47
  5. Step 5: Solve for x
    x = 1,126,472.47/1,069.46
  6. Step 6: Final answer
    x = 1,053.31

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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.