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Finding the Fourth Proportional to 846.01, 1,165.62 and 596.94

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Solution

The fourth proportional to 846.01, 1,165.62 and 596.94 is: 822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.01 : 1,165.62 = 596.94 : x
  2. Step 2: Convert to fraction form
    846.01/1,165.62 = 596.94/x
  3. Step 3: Cross multiply
    846.01x = 1,165.62 × 596.94
  4. Step 4: Simplify right side
    846.01x = 695,805.20
  5. Step 5: Solve for x
    x = 695,805.20/846.01
  6. Step 6: Final answer
    x = 822.46

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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.