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Finding the Fourth Proportional to 868.54, 1,303.62 and 436

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Solution

The fourth proportional to 868.54, 1,303.62 and 436 is: 654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.54 : 1,303.62 = 436 : x
  2. Step 2: Convert to fraction form
    868.54/1,303.62 = 436/x
  3. Step 3: Cross multiply
    868.54x = 1,303.62 × 436
  4. Step 4: Simplify right side
    868.54x = 568,378.32
  5. Step 5: Solve for x
    x = 568,378.32/868.54
  6. Step 6: Final answer
    x = 654.41

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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.