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Finding the Fourth Proportional to 846.73, 1,168.55 and 473.77

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Solution

The fourth proportional to 846.73, 1,168.55 and 473.77 is: 653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.73 : 1,168.55 = 473.77 : x
  2. Step 2: Convert to fraction form
    846.73/1,168.55 = 473.77/x
  3. Step 3: Cross multiply
    846.73x = 1,168.55 × 473.77
  4. Step 4: Simplify right side
    846.73x = 553,623.93
  5. Step 5: Solve for x
    x = 553,623.93/846.73
  6. Step 6: Final answer
    x = 653.84

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