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Finding the Fourth Proportional to 857.93, 1,184.34 and 648.21

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Solution

The fourth proportional to 857.93, 1,184.34 and 648.21 is: 894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.93 : 1,184.34 = 648.21 : x
  2. Step 2: Convert to fraction form
    857.93/1,184.34 = 648.21/x
  3. Step 3: Cross multiply
    857.93x = 1,184.34 × 648.21
  4. Step 4: Simplify right side
    857.93x = 767,701.03
  5. Step 5: Solve for x
    x = 767,701.03/857.93
  6. Step 6: Final answer
    x = 894.83

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1.5x scale

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.