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Finding the Fourth Proportional to 1,630.20, 2,445.98 and 705.28

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Solution

The fourth proportional to 1,630.20, 2,445.98 and 705.28 is: 1,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.20 : 2,445.98 = 705.28 : x
  2. Step 2: Convert to fraction form
    1,630.20/2,445.98 = 705.28/x
  3. Step 3: Cross multiply
    1,630.20x = 2,445.98 × 705.28
  4. Step 4: Simplify right side
    1,630.20x = 1,725,100.77
  5. Step 5: Solve for x
    x = 1,725,100.77/1,630.20
  6. Step 6: Final answer
    x = 1,058.21

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