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Finding the Fourth Proportional to 1,041.39, 1,435.62 and 642.78

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Solution

The fourth proportional to 1,041.39, 1,435.62 and 642.78 is: 886.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.39 : 1,435.62 = 642.78 : x
  2. Step 2: Convert to fraction form
    1,041.39/1,435.62 = 642.78/x
  3. Step 3: Cross multiply
    1,041.39x = 1,435.62 × 642.78
  4. Step 4: Simplify right side
    1,041.39x = 922,784.61
  5. Step 5: Solve for x
    x = 922,784.61/1,041.39
  6. Step 6: Final answer
    x = 886.11

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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.