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Finding the Fourth Proportional to 909.63, 1,364.58 and 470.25

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Solution

The fourth proportional to 909.63, 1,364.58 and 470.25 is: 705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.63 : 1,364.58 = 470.25 : x
  2. Step 2: Convert to fraction form
    909.63/1,364.58 = 470.25/x
  3. Step 3: Cross multiply
    909.63x = 1,364.58 × 470.25
  4. Step 4: Simplify right side
    909.63x = 641,693.75
  5. Step 5: Solve for x
    x = 641,693.75/909.63
  6. Step 6: Final answer
    x = 705.44

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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.