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Finding the Fourth Proportional to 1,355.72, 2,033.57 and 478.01

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Solution

The fourth proportional to 1,355.72, 2,033.57 and 478.01 is: 717.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.72 : 2,033.57 = 478.01 : x
  2. Step 2: Convert to fraction form
    1,355.72/2,033.57 = 478.01/x
  3. Step 3: Cross multiply
    1,355.72x = 2,033.57 × 478.01
  4. Step 4: Simplify right side
    1,355.72x = 972,073.07
  5. Step 5: Solve for x
    x = 972,073.07/1,355.72
  6. Step 6: Final answer
    x = 717.02

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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.