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Finding the Fourth Proportional to 1,100.48, 1,647.51 and 579.24

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Solution

The fourth proportional to 1,100.48, 1,647.51 and 579.24 is: 867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.48 : 1,647.51 = 579.24 : x
  2. Step 2: Convert to fraction form
    1,100.48/1,647.51 = 579.24/x
  3. Step 3: Cross multiply
    1,100.48x = 1,647.51 × 579.24
  4. Step 4: Simplify right side
    1,100.48x = 954,303.69
  5. Step 5: Solve for x
    x = 954,303.69/1,100.48
  6. Step 6: Final answer
    x = 867.17

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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.