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Finding the Fourth Proportional to 758.74, 1,047.14 and 464.20

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Solution

The fourth proportional to 758.74, 1,047.14 and 464.20 is: 640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.74 : 1,047.14 = 464.20 : x
  2. Step 2: Convert to fraction form
    758.74/1,047.14 = 464.20/x
  3. Step 3: Cross multiply
    758.74x = 1,047.14 × 464.20
  4. Step 4: Simplify right side
    758.74x = 486,080.07
  5. Step 5: Solve for x
    x = 486,080.07/758.74
  6. Step 6: Final answer
    x = 640.64

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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.