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Finding the Fourth Proportional to 846.66, 1,168.36 and 473.65

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Solution

The fourth proportional to 846.66, 1,168.36 and 473.65 is: 653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.66 : 1,168.36 = 473.65 : x
  2. Step 2: Convert to fraction form
    846.66/1,168.36 = 473.65/x
  3. Step 3: Cross multiply
    846.66x = 1,168.36 × 473.65
  4. Step 4: Simplify right side
    846.66x = 553,393.71
  5. Step 5: Solve for x
    x = 553,393.71/846.66
  6. Step 6: Final answer
    x = 653.62

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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.