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Finding the Fourth Proportional to 908.54, 1,364.06 and 470.15

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Solution

The fourth proportional to 908.54, 1,364.06 and 470.15 is: 705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.54 : 1,364.06 = 470.15 : x
  2. Step 2: Convert to fraction form
    908.54/1,364.06 = 470.15/x
  3. Step 3: Cross multiply
    908.54x = 1,364.06 × 470.15
  4. Step 4: Simplify right side
    908.54x = 641,303.64
  5. Step 5: Solve for x
    x = 641,303.64/908.54
  6. Step 6: Final answer
    x = 705.87

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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.