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Finding the Fourth Proportional to 952.40, 1,427.88 and 465.50

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Solution

The fourth proportional to 952.40, 1,427.88 and 465.50 is: 697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.40 : 1,427.88 = 465.50 : x
  2. Step 2: Convert to fraction form
    952.40/1,427.88 = 465.50/x
  3. Step 3: Cross multiply
    952.40x = 1,427.88 × 465.50
  4. Step 4: Simplify right side
    952.40x = 664,678.14
  5. Step 5: Solve for x
    x = 664,678.14/952.40
  6. Step 6: Final answer
    x = 697.90

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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.