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Finding the Fourth Proportional to 1,135.23, 1,566.69 and 638.04

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Solution

The fourth proportional to 1,135.23, 1,566.69 and 638.04 is: 880.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.23 : 1,566.69 = 638.04 : x
  2. Step 2: Convert to fraction form
    1,135.23/1,566.69 = 638.04/x
  3. Step 3: Cross multiply
    1,135.23x = 1,566.69 × 638.04
  4. Step 4: Simplify right side
    1,135.23x = 999,610.89
  5. Step 5: Solve for x
    x = 999,610.89/1,135.23
  6. Step 6: Final answer
    x = 880.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.