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Finding the Fourth Proportional to 873.64, 1,315.63 and 631.86

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Solution

The fourth proportional to 873.64, 1,315.63 and 631.86 is: 951.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.64 : 1,315.63 = 631.86 : x
  2. Step 2: Convert to fraction form
    873.64/1,315.63 = 631.86/x
  3. Step 3: Cross multiply
    873.64x = 1,315.63 × 631.86
  4. Step 4: Simplify right side
    873.64x = 831,293.97
  5. Step 5: Solve for x
    x = 831,293.97/873.64
  6. Step 6: Final answer
    x = 951.53

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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.