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Finding the Fourth Proportional to 758.84, 1,047.84 and 464.20

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Solution

The fourth proportional to 758.84, 1,047.84 and 464.20 is: 640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.84 : 1,047.84 = 464.20 : x
  2. Step 2: Convert to fraction form
    758.84/1,047.84 = 464.20/x
  3. Step 3: Cross multiply
    758.84x = 1,047.84 × 464.20
  4. Step 4: Simplify right side
    758.84x = 486,402.97
  5. Step 5: Solve for x
    x = 486,402.97/758.84
  6. Step 6: Final answer
    x = 640.99

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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.