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Finding the Fourth Proportional to 1,622.80, 2,434.02 and 468.55

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Solution

The fourth proportional to 1,622.80, 2,434.02 and 468.55 is: 702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.80 : 2,434.02 = 468.55 : x
  2. Step 2: Convert to fraction form
    1,622.80/2,434.02 = 468.55/x
  3. Step 3: Cross multiply
    1,622.80x = 2,434.02 × 468.55
  4. Step 4: Simplify right side
    1,622.80x = 1,140,460.07
  5. Step 5: Solve for x
    x = 1,140,460.07/1,622.80
  6. Step 6: Final answer
    x = 702.77

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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.