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Finding the Fourth Proportional to 846.90, 1,168.63 and 473.83

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Solution

The fourth proportional to 846.90, 1,168.63 and 473.83 is: 653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.90 : 1,168.63 = 473.83 : x
  2. Step 2: Convert to fraction form
    846.90/1,168.63 = 473.83/x
  3. Step 3: Cross multiply
    846.90x = 1,168.63 × 473.83
  4. Step 4: Simplify right side
    846.90x = 553,727.85
  5. Step 5: Solve for x
    x = 553,727.85/846.90
  6. Step 6: Final answer
    x = 653.83

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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.