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Finding the Fourth Proportional to 909.15, 1,364.54 and 476.61

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Solution

The fourth proportional to 909.15, 1,364.54 and 476.61 is: 715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.15 : 1,364.54 = 476.61 : x
  2. Step 2: Convert to fraction form
    909.15/1,364.54 = 476.61/x
  3. Step 3: Cross multiply
    909.15x = 1,364.54 × 476.61
  4. Step 4: Simplify right side
    909.15x = 650,353.41
  5. Step 5: Solve for x
    x = 650,353.41/909.15
  6. Step 6: Final answer
    x = 715.34

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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.