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Finding the Fourth Proportional to 953.47, 1,312.35 and 813.14

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Solution

The fourth proportional to 953.47, 1,312.35 and 813.14 is: 1,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.47 : 1,312.35 = 813.14 : x
  2. Step 2: Convert to fraction form
    953.47/1,312.35 = 813.14/x
  3. Step 3: Cross multiply
    953.47x = 1,312.35 × 813.14
  4. Step 4: Simplify right side
    953.47x = 1,067,124.16
  5. Step 5: Solve for x
    x = 1,067,124.16/953.47
  6. Step 6: Final answer
    x = 1,119.20

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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.