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Finding the Fourth Proportional to 758.68, 1,046.37 and 509.83

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Solution

The fourth proportional to 758.68, 1,046.37 and 509.83 is: 703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.68 : 1,046.37 = 509.83 : x
  2. Step 2: Convert to fraction form
    758.68/1,046.37 = 509.83/x
  3. Step 3: Cross multiply
    758.68x = 1,046.37 × 509.83
  4. Step 4: Simplify right side
    758.68x = 533,470.82
  5. Step 5: Solve for x
    x = 533,470.82/758.68
  6. Step 6: Final answer
    x = 703.16

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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.