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Finding the Fourth Proportional to 1,655.99, 2,284.94 and 1,058.79

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Solution

The fourth proportional to 1,655.99, 2,284.94 and 1,058.79 is: 1,460.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.99 : 2,284.94 = 1,058.79 : x
  2. Step 2: Convert to fraction form
    1,655.99/2,284.94 = 1,058.79/x
  3. Step 3: Cross multiply
    1,655.99x = 2,284.94 × 1,058.79
  4. Step 4: Simplify right side
    1,655.99x = 2,419,266.33
  5. Step 5: Solve for x
    x = 2,419,266.33/1,655.99
  6. Step 6: Final answer
    x = 1,460.92

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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.