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Finding the Fourth Proportional to 758.04, 1,046.43 and 584.16

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Solution

The fourth proportional to 758.04, 1,046.43 and 584.16 is: 806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.04 : 1,046.43 = 584.16 : x
  2. Step 2: Convert to fraction form
    758.04/1,046.43 = 584.16/x
  3. Step 3: Cross multiply
    758.04x = 1,046.43 × 584.16
  4. Step 4: Simplify right side
    758.04x = 611,282.55
  5. Step 5: Solve for x
    x = 611,282.55/758.04
  6. Step 6: Final answer
    x = 806.40

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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.