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Finding the Fourth Proportional to 918.19, 1,266.69 and 581.95

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Solution

The fourth proportional to 918.19, 1,266.69 and 581.95 is: 802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.19 : 1,266.69 = 581.95 : x
  2. Step 2: Convert to fraction form
    918.19/1,266.69 = 581.95/x
  3. Step 3: Cross multiply
    918.19x = 1,266.69 × 581.95
  4. Step 4: Simplify right side
    918.19x = 737,150.25
  5. Step 5: Solve for x
    x = 737,150.25/918.19
  6. Step 6: Final answer
    x = 802.83

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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.