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Finding the Fourth Proportional to 1,533.13, 2,301.48 and 753.77

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Solution

The fourth proportional to 1,533.13, 2,301.48 and 753.77 is: 1,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.13 : 2,301.48 = 753.77 : x
  2. Step 2: Convert to fraction form
    1,533.13/2,301.48 = 753.77/x
  3. Step 3: Cross multiply
    1,533.13x = 2,301.48 × 753.77
  4. Step 4: Simplify right side
    1,533.13x = 1,734,792.33
  5. Step 5: Solve for x
    x = 1,734,792.33/1,533.13
  6. Step 6: Final answer
    x = 1,131.54

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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.