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Finding the Fourth Proportional to 909.18, 1,360.98 and 810.72

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Solution

The fourth proportional to 909.18, 1,360.98 and 810.72 is: 1,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.18 : 1,360.98 = 810.72 : x
  2. Step 2: Convert to fraction form
    909.18/1,360.98 = 810.72/x
  3. Step 3: Cross multiply
    909.18x = 1,360.98 × 810.72
  4. Step 4: Simplify right side
    909.18x = 1,103,373.71
  5. Step 5: Solve for x
    x = 1,103,373.71/909.18
  6. Step 6: Final answer
    x = 1,213.59

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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.