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Finding the Fourth Proportional to 1,389.99, 1,918.17 and 760.53

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Solution

The fourth proportional to 1,389.99, 1,918.17 and 760.53 is: 1,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.99 : 1,918.17 = 760.53 : x
  2. Step 2: Convert to fraction form
    1,389.99/1,918.17 = 760.53/x
  3. Step 3: Cross multiply
    1,389.99x = 1,918.17 × 760.53
  4. Step 4: Simplify right side
    1,389.99x = 1,458,825.83
  5. Step 5: Solve for x
    x = 1,458,825.83/1,389.99
  6. Step 6: Final answer
    x = 1,049.52

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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.