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Finding the Fourth Proportional to 758.53, 1,046.77 and 464.00

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Solution

The fourth proportional to 758.53, 1,046.77 and 464.00 is: 640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.53 : 1,046.77 = 464.00 : x
  2. Step 2: Convert to fraction form
    758.53/1,046.77 = 464.00/x
  3. Step 3: Cross multiply
    758.53x = 1,046.77 × 464.00
  4. Step 4: Simplify right side
    758.53x = 485,697.50
  5. Step 5: Solve for x
    x = 485,697.50/758.53
  6. Step 6: Final answer
    x = 640.31

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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.