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Finding the Fourth Proportional to 1,390.69, 1,918.52 and 917.98

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Solution

The fourth proportional to 1,390.69, 1,918.52 and 917.98 is: 1,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.69 : 1,918.52 = 917.98 : x
  2. Step 2: Convert to fraction form
    1,390.69/1,918.52 = 917.98/x
  3. Step 3: Cross multiply
    1,390.69x = 1,918.52 × 917.98
  4. Step 4: Simplify right side
    1,390.69x = 1,761,162.99
  5. Step 5: Solve for x
    x = 1,761,162.99/1,390.69
  6. Step 6: Final answer
    x = 1,266.40

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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.