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Finding the Fourth Proportional to 864.04, 1,190.98 and 584.18

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Solution

The fourth proportional to 864.04, 1,190.98 and 584.18 is: 805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.04 : 1,190.98 = 584.18 : x
  2. Step 2: Convert to fraction form
    864.04/1,190.98 = 584.18/x
  3. Step 3: Cross multiply
    864.04x = 1,190.98 × 584.18
  4. Step 4: Simplify right side
    864.04x = 695,746.70
  5. Step 5: Solve for x
    x = 695,746.70/864.04
  6. Step 6: Final answer
    x = 805.23

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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.