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Finding the Fourth Proportional to 1,058.96, 1,461.36 and 593.16

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Solution

The fourth proportional to 1,058.96, 1,461.36 and 593.16 is: 818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.96 : 1,461.36 = 593.16 : x
  2. Step 2: Convert to fraction form
    1,058.96/1,461.36 = 593.16/x
  3. Step 3: Cross multiply
    1,058.96x = 1,461.36 × 593.16
  4. Step 4: Simplify right side
    1,058.96x = 866,820.30
  5. Step 5: Solve for x
    x = 866,820.30/1,058.96
  6. Step 6: Final answer
    x = 818.56

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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.