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Finding the Fourth Proportional to 1,041.89, 1,436.81 and 638.01

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Solution

The fourth proportional to 1,041.89, 1,436.81 and 638.01 is: 879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.89 : 1,436.81 = 638.01 : x
  2. Step 2: Convert to fraction form
    1,041.89/1,436.81 = 638.01/x
  3. Step 3: Cross multiply
    1,041.89x = 1,436.81 × 638.01
  4. Step 4: Simplify right side
    1,041.89x = 916,695.96
  5. Step 5: Solve for x
    x = 916,695.96/1,041.89
  6. Step 6: Final answer
    x = 879.84

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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.