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Finding the Fourth Proportional to 1,390.89, 2,085.82 and 416.66

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Solution

The fourth proportional to 1,390.89, 2,085.82 and 416.66 is: 624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.89 : 2,085.82 = 416.66 : x
  2. Step 2: Convert to fraction form
    1,390.89/2,085.82 = 416.66/x
  3. Step 3: Cross multiply
    1,390.89x = 2,085.82 × 416.66
  4. Step 4: Simplify right side
    1,390.89x = 869,077.76
  5. Step 5: Solve for x
    x = 869,077.76/1,390.89
  6. Step 6: Final answer
    x = 624.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.