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Finding the Fourth Proportional to 758.24, 1,137.12 and 416

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Solution

The fourth proportional to 758.24, 1,137.12 and 416 is: 623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.24 : 1,137.12 = 416 : x
  2. Step 2: Convert to fraction form
    758.24/1,137.12 = 416/x
  3. Step 3: Cross multiply
    758.24x = 1,137.12 × 416
  4. Step 4: Simplify right side
    758.24x = 473,041.92
  5. Step 5: Solve for x
    x = 473,041.92/758.24
  6. Step 6: Final answer
    x = 623.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.