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Finding the Fourth Proportional to 916.68, 1,368.21 and 807.33

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Solution

The fourth proportional to 916.68, 1,368.21 and 807.33 is: 1,205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.68 : 1,368.21 = 807.33 : x
  2. Step 2: Convert to fraction form
    916.68/1,368.21 = 807.33/x
  3. Step 3: Cross multiply
    916.68x = 1,368.21 × 807.33
  4. Step 4: Simplify right side
    916.68x = 1,104,596.98
  5. Step 5: Solve for x
    x = 1,104,596.98/916.68
  6. Step 6: Final answer
    x = 1,205.00

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