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Finding the Fourth Proportional to 722.90, 1,079.10 and 669.50

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Solution

The fourth proportional to 722.90, 1,079.10 and 669.50 is: 999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.90 : 1,079.10 = 669.50 : x
  2. Step 2: Convert to fraction form
    722.90/1,079.10 = 669.50/x
  3. Step 3: Cross multiply
    722.90x = 1,079.10 × 669.50
  4. Step 4: Simplify right side
    722.90x = 722,454.10
  5. Step 5: Solve for x
    x = 722,454.10/722.90
  6. Step 6: Final answer
    x = 999.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.