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Finding the Fourth Proportional to 1,317.37, 1,974.88 and 623.61

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Solution

The fourth proportional to 1,317.37, 1,974.88 and 623.61 is: 934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.37 : 1,974.88 = 623.61 : x
  2. Step 2: Convert to fraction form
    1,317.37/1,974.88 = 623.61/x
  3. Step 3: Cross multiply
    1,317.37x = 1,974.88 × 623.61
  4. Step 4: Simplify right side
    1,317.37x = 1,231,545.04
  5. Step 5: Solve for x
    x = 1,231,545.04/1,317.37
  6. Step 6: Final answer
    x = 934.85

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1.5x scale

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.