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Finding the Fourth Proportional to 758.61, 1,137.93 and 446.37

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Solution

The fourth proportional to 758.61, 1,137.93 and 446.37 is: 669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.61 : 1,137.93 = 446.37 : x
  2. Step 2: Convert to fraction form
    758.61/1,137.93 = 446.37/x
  3. Step 3: Cross multiply
    758.61x = 1,137.93 × 446.37
  4. Step 4: Simplify right side
    758.61x = 507,937.81
  5. Step 5: Solve for x
    x = 507,937.81/758.61
  6. Step 6: Final answer
    x = 669.56

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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.