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Finding the Fourth Proportional to 1,084.51, 1,626.35 and 468.17

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Solution

The fourth proportional to 1,084.51, 1,626.35 and 468.17 is: 702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.51 : 1,626.35 = 468.17 : x
  2. Step 2: Convert to fraction form
    1,084.51/1,626.35 = 468.17/x
  3. Step 3: Cross multiply
    1,084.51x = 1,626.35 × 468.17
  4. Step 4: Simplify right side
    1,084.51x = 761,401.32
  5. Step 5: Solve for x
    x = 761,401.32/1,084.51
  6. Step 6: Final answer
    x = 702.07

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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.