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Finding the Fourth Proportional to 1,533.96, 2,301.27 and 560.07

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Solution

The fourth proportional to 1,533.96, 2,301.27 and 560.07 is: 840.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.96 : 2,301.27 = 560.07 : x
  2. Step 2: Convert to fraction form
    1,533.96/2,301.27 = 560.07/x
  3. Step 3: Cross multiply
    1,533.96x = 2,301.27 × 560.07
  4. Step 4: Simplify right side
    1,533.96x = 1,288,872.29
  5. Step 5: Solve for x
    x = 1,288,872.29/1,533.96
  6. Step 6: Final answer
    x = 840.23

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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.