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Finding the Fourth Proportional to 1,069.19, 1,603.56 and 410.86

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Solution

The fourth proportional to 1,069.19, 1,603.56 and 410.86 is: 616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.19 : 1,603.56 = 410.86 : x
  2. Step 2: Convert to fraction form
    1,069.19/1,603.56 = 410.86/x
  3. Step 3: Cross multiply
    1,069.19x = 1,603.56 × 410.86
  4. Step 4: Simplify right side
    1,069.19x = 658,830.64
  5. Step 5: Solve for x
    x = 658,830.64/1,069.19
  6. Step 6: Final answer
    x = 616.20

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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.