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Finding the Fourth Proportional to 1,253.84, 1,731.58 and 1,058.90

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Solution

The fourth proportional to 1,253.84, 1,731.58 and 1,058.90 is: 1,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.84 : 1,731.58 = 1,058.90 : x
  2. Step 2: Convert to fraction form
    1,253.84/1,731.58 = 1,058.90/x
  3. Step 3: Cross multiply
    1,253.84x = 1,731.58 × 1,058.90
  4. Step 4: Simplify right side
    1,253.84x = 1,833,558.76
  5. Step 5: Solve for x
    x = 1,833,558.76/1,253.84
  6. Step 6: Final answer
    x = 1,462.36

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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.