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Finding the Fourth Proportional to 810.66, 1,211.33 and 664.50

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Solution

The fourth proportional to 810.66, 1,211.33 and 664.50 is: 992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.66 : 1,211.33 = 664.50 : x
  2. Step 2: Convert to fraction form
    810.66/1,211.33 = 664.50/x
  3. Step 3: Cross multiply
    810.66x = 1,211.33 × 664.50
  4. Step 4: Simplify right side
    810.66x = 804,925.46
  5. Step 5: Solve for x
    x = 804,925.46/810.66
  6. Step 6: Final answer
    x = 992.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.