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Finding the Fourth Proportional to 758.85, 1,046.84 and 510.18

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Solution

The fourth proportional to 758.85, 1,046.84 and 510.18 is: 703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.85 : 1,046.84 = 510.18 : x
  2. Step 2: Convert to fraction form
    758.85/1,046.84 = 510.18/x
  3. Step 3: Cross multiply
    758.85x = 1,046.84 × 510.18
  4. Step 4: Simplify right side
    758.85x = 534,074.28
  5. Step 5: Solve for x
    x = 534,074.28/758.85
  6. Step 6: Final answer
    x = 703.79

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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.