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Finding the Fourth Proportional to 846.71, 1,168.05 and 532.36

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Solution

The fourth proportional to 846.71, 1,168.05 and 532.36 is: 734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.71 : 1,168.05 = 532.36 : x
  2. Step 2: Convert to fraction form
    846.71/1,168.05 = 532.36/x
  3. Step 3: Cross multiply
    846.71x = 1,168.05 × 532.36
  4. Step 4: Simplify right side
    846.71x = 621,823.10
  5. Step 5: Solve for x
    x = 621,823.10/846.71
  6. Step 6: Final answer
    x = 734.40

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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.