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Finding the Fourth Proportional to 857.47, 1,183.06 and 578.02

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Solution

The fourth proportional to 857.47, 1,183.06 and 578.02 is: 797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.47 : 1,183.06 = 578.02 : x
  2. Step 2: Convert to fraction form
    857.47/1,183.06 = 578.02/x
  3. Step 3: Cross multiply
    857.47x = 1,183.06 × 578.02
  4. Step 4: Simplify right side
    857.47x = 683,832.34
  5. Step 5: Solve for x
    x = 683,832.34/857.47
  6. Step 6: Final answer
    x = 797.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.