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Finding the Fourth Proportional to 1,084.92, 1,497.18 and 587.57

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Solution

The fourth proportional to 1,084.92, 1,497.18 and 587.57 is: 810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.92 : 1,497.18 = 587.57 : x
  2. Step 2: Convert to fraction form
    1,084.92/1,497.18 = 587.57/x
  3. Step 3: Cross multiply
    1,084.92x = 1,497.18 × 587.57
  4. Step 4: Simplify right side
    1,084.92x = 879,692.77
  5. Step 5: Solve for x
    x = 879,692.77/1,084.92
  6. Step 6: Final answer
    x = 810.84

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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.