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Finding the Fourth Proportional to 1,084.62, 1,626.47 and 468.01

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Solution

The fourth proportional to 1,084.62, 1,626.47 and 468.01 is: 701.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.62 : 1,626.47 = 468.01 : x
  2. Step 2: Convert to fraction form
    1,084.62/1,626.47 = 468.01/x
  3. Step 3: Cross multiply
    1,084.62x = 1,626.47 × 468.01
  4. Step 4: Simplify right side
    1,084.62x = 761,204.22
  5. Step 5: Solve for x
    x = 761,204.22/1,084.62
  6. Step 6: Final answer
    x = 701.82

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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.