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Finding the Fourth Proportional to 1,579.80, 2,370.75 and 553.80

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Solution

The fourth proportional to 1,579.80, 2,370.75 and 553.80 is: 831.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.80 : 2,370.75 = 553.80 : x
  2. Step 2: Convert to fraction form
    1,579.80/2,370.75 = 553.80/x
  3. Step 3: Cross multiply
    1,579.80x = 2,370.75 × 553.80
  4. Step 4: Simplify right side
    1,579.80x = 1,312,921.35
  5. Step 5: Solve for x
    x = 1,312,921.35/1,579.80
  6. Step 6: Final answer
    x = 831.07

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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.