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Finding the Fourth Proportional to 1,084.19, 1,496.16 and 586.82

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Solution

The fourth proportional to 1,084.19, 1,496.16 and 586.82 is: 809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.19 : 1,496.16 = 586.82 : x
  2. Step 2: Convert to fraction form
    1,084.19/1,496.16 = 586.82/x
  3. Step 3: Cross multiply
    1,084.19x = 1,496.16 × 586.82
  4. Step 4: Simplify right side
    1,084.19x = 877,969.13
  5. Step 5: Solve for x
    x = 877,969.13/1,084.19
  6. Step 6: Final answer
    x = 809.80

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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.