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Finding the Fourth Proportional to 1,048.39, 1,572.62 and 842.00

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Solution

The fourth proportional to 1,048.39, 1,572.62 and 842.00 is: 1,263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.39 : 1,572.62 = 842.00 : x
  2. Step 2: Convert to fraction form
    1,048.39/1,572.62 = 842.00/x
  3. Step 3: Cross multiply
    1,048.39x = 1,572.62 × 842.00
  4. Step 4: Simplify right side
    1,048.39x = 1,324,133.97
  5. Step 5: Solve for x
    x = 1,324,133.97/1,048.39
  6. Step 6: Final answer
    x = 1,263.01

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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.