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Finding the Fourth Proportional to 912.01, 1,368.02 and 729.16

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Solution

The fourth proportional to 912.01, 1,368.02 and 729.16 is: 1,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.01 : 1,368.02 = 729.16 : x
  2. Step 2: Convert to fraction form
    912.01/1,368.02 = 729.16/x
  3. Step 3: Cross multiply
    912.01x = 1,368.02 × 729.16
  4. Step 4: Simplify right side
    912.01x = 997,505.46
  5. Step 5: Solve for x
    x = 997,505.46/912.01
  6. Step 6: Final answer
    x = 1,093.74

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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.