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Finding the Fourth Proportional to 857.03, 1,285.65 and 417.97

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Solution

The fourth proportional to 857.03, 1,285.65 and 417.97 is: 627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.03 : 1,285.65 = 417.97 : x
  2. Step 2: Convert to fraction form
    857.03/1,285.65 = 417.97/x
  3. Step 3: Cross multiply
    857.03x = 1,285.65 × 417.97
  4. Step 4: Simplify right side
    857.03x = 537,362.09
  5. Step 5: Solve for x
    x = 537,362.09/857.03
  6. Step 6: Final answer
    x = 627.00

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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.