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Finding the Fourth Proportional to 1,100.45, 1,648.58 and 710.03

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Solution

The fourth proportional to 1,100.45, 1,648.58 and 710.03 is: 1,063.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.45 : 1,648.58 = 710.03 : x
  2. Step 2: Convert to fraction form
    1,100.45/1,648.58 = 710.03/x
  3. Step 3: Cross multiply
    1,100.45x = 1,648.58 × 710.03
  4. Step 4: Simplify right side
    1,100.45x = 1,170,529.46
  5. Step 5: Solve for x
    x = 1,170,529.46/1,100.45
  6. Step 6: Final answer
    x = 1,063.69

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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.