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Finding the Fourth Proportional to 857.69, 1,291.08 and 732.41

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Solution

The fourth proportional to 857.69, 1,291.08 and 732.41 is: 1,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.69 : 1,291.08 = 732.41 : x
  2. Step 2: Convert to fraction form
    857.69/1,291.08 = 732.41/x
  3. Step 3: Cross multiply
    857.69x = 1,291.08 × 732.41
  4. Step 4: Simplify right side
    857.69x = 945,599.90
  5. Step 5: Solve for x
    x = 945,599.90/857.69
  6. Step 6: Final answer
    x = 1,102.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.