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Finding the Fourth Proportional to 909.88, 1,366.08 and 471.50

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Solution

The fourth proportional to 909.88, 1,366.08 and 471.50 is: 707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.88 : 1,366.08 = 471.50 : x
  2. Step 2: Convert to fraction form
    909.88/1,366.08 = 471.50/x
  3. Step 3: Cross multiply
    909.88x = 1,366.08 × 471.50
  4. Step 4: Simplify right side
    909.88x = 644,106.72
  5. Step 5: Solve for x
    x = 644,106.72/909.88
  6. Step 6: Final answer
    x = 707.90

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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.