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Finding the Fourth Proportional to 951.84, 1,428 and 465.12

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Solution

The fourth proportional to 951.84, 1,428 and 465.12 is: 697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.84 : 1,428 = 465.12 : x
  2. Step 2: Convert to fraction form
    951.84/1,428 = 465.12/x
  3. Step 3: Cross multiply
    951.84x = 1,428 × 465.12
  4. Step 4: Simplify right side
    951.84x = 664,191.36
  5. Step 5: Solve for x
    x = 664,191.36/951.84
  6. Step 6: Final answer
    x = 697.80

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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.