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Finding the Fourth Proportional to 953.20, 1,315.02 and 621.50

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Solution

The fourth proportional to 953.20, 1,315.02 and 621.50 is: 857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.20 : 1,315.02 = 621.50 : x
  2. Step 2: Convert to fraction form
    953.20/1,315.02 = 621.50/x
  3. Step 3: Cross multiply
    953.20x = 1,315.02 × 621.50
  4. Step 4: Simplify right side
    953.20x = 817,284.93
  5. Step 5: Solve for x
    x = 817,284.93/953.20
  6. Step 6: Final answer
    x = 857.41

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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.