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Finding the Fourth Proportional to 1,069.51, 1,603.66 and 402.13

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Solution

The fourth proportional to 1,069.51, 1,603.66 and 402.13 is: 602.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.51 : 1,603.66 = 402.13 : x
  2. Step 2: Convert to fraction form
    1,069.51/1,603.66 = 402.13/x
  3. Step 3: Cross multiply
    1,069.51x = 1,603.66 × 402.13
  4. Step 4: Simplify right side
    1,069.51x = 644,879.80
  5. Step 5: Solve for x
    x = 644,879.80/1,069.51
  6. Step 6: Final answer
    x = 602.97

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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.