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Finding the Fourth Proportional to 952.02, 1,426.68 and 465.41

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Solution

The fourth proportional to 952.02, 1,426.68 and 465.41 is: 697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.02 : 1,426.68 = 465.41 : x
  2. Step 2: Convert to fraction form
    952.02/1,426.68 = 465.41/x
  3. Step 3: Cross multiply
    952.02x = 1,426.68 × 465.41
  4. Step 4: Simplify right side
    952.02x = 663,994.71
  5. Step 5: Solve for x
    x = 663,994.71/952.02
  6. Step 6: Final answer
    x = 697.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.