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Finding the Fourth Proportional to 1,084.51, 1,496.62 and 587.14

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Solution

The fourth proportional to 1,084.51, 1,496.62 and 587.14 is: 810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.51 : 1,496.62 = 587.14 : x
  2. Step 2: Convert to fraction form
    1,084.51/1,496.62 = 587.14/x
  3. Step 3: Cross multiply
    1,084.51x = 1,496.62 × 587.14
  4. Step 4: Simplify right side
    1,084.51x = 878,720.26
  5. Step 5: Solve for x
    x = 878,720.26/1,084.51
  6. Step 6: Final answer
    x = 810.25

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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.