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Finding the Fourth Proportional to 1,048.00, 1,572.44 and 554.97

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Solution

The fourth proportional to 1,048.00, 1,572.44 and 554.97 is: 832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.00 : 1,572.44 = 554.97 : x
  2. Step 2: Convert to fraction form
    1,048.00/1,572.44 = 554.97/x
  3. Step 3: Cross multiply
    1,048.00x = 1,572.44 × 554.97
  4. Step 4: Simplify right side
    1,048.00x = 872,646.88
  5. Step 5: Solve for x
    x = 872,646.88/1,048.00
  6. Step 6: Final answer
    x = 832.68

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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.