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Finding the Fourth Proportional to 846.52, 1,168.06 and 473.50

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Solution

The fourth proportional to 846.52, 1,168.06 and 473.50 is: 653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.52 : 1,168.06 = 473.50 : x
  2. Step 2: Convert to fraction form
    846.52/1,168.06 = 473.50/x
  3. Step 3: Cross multiply
    846.52x = 1,168.06 × 473.50
  4. Step 4: Simplify right side
    846.52x = 553,076.41
  5. Step 5: Solve for x
    x = 553,076.41/846.52
  6. Step 6: Final answer
    x = 653.35

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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.