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Finding the Fourth Proportional to 1,389.69, 1,917.14 and 916.98

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Solution

The fourth proportional to 1,389.69, 1,917.14 and 916.98 is: 1,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.69 : 1,917.14 = 916.98 : x
  2. Step 2: Convert to fraction form
    1,389.69/1,917.14 = 916.98/x
  3. Step 3: Cross multiply
    1,389.69x = 1,917.14 × 916.98
  4. Step 4: Simplify right side
    1,389.69x = 1,757,979.04
  5. Step 5: Solve for x
    x = 1,757,979.04/1,389.69
  6. Step 6: Final answer
    x = 1,265.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.