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Finding the Fourth Proportional to 846.09, 1,167.44 and 473.06

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Solution

The fourth proportional to 846.09, 1,167.44 and 473.06 is: 652.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.09 : 1,167.44 = 473.06 : x
  2. Step 2: Convert to fraction form
    846.09/1,167.44 = 473.06/x
  3. Step 3: Cross multiply
    846.09x = 1,167.44 × 473.06
  4. Step 4: Simplify right side
    846.09x = 552,269.72
  5. Step 5: Solve for x
    x = 552,269.72/846.09
  6. Step 6: Final answer
    x = 652.73

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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.