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Finding the Fourth Proportional to 1,630.30, 2,444.54 and 705.28

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Solution

The fourth proportional to 1,630.30, 2,444.54 and 705.28 is: 1,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.30 : 2,444.54 = 705.28 : x
  2. Step 2: Convert to fraction form
    1,630.30/2,444.54 = 705.28/x
  3. Step 3: Cross multiply
    1,630.30x = 2,444.54 × 705.28
  4. Step 4: Simplify right side
    1,630.30x = 1,724,085.17
  5. Step 5: Solve for x
    x = 1,724,085.17/1,630.30
  6. Step 6: Final answer
    x = 1,057.53

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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.