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Finding the Fourth Proportional to 1,315.63, 1,972.63 and 621.87

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Solution

The fourth proportional to 1,315.63, 1,972.63 and 621.87 is: 932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.63 : 1,972.63 = 621.87 : x
  2. Step 2: Convert to fraction form
    1,315.63/1,972.63 = 621.87/x
  3. Step 3: Cross multiply
    1,315.63x = 1,972.63 × 621.87
  4. Step 4: Simplify right side
    1,315.63x = 1,226,719.42
  5. Step 5: Solve for x
    x = 1,226,719.42/1,315.63
  6. Step 6: Final answer
    x = 932.42

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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.