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Finding the Fourth Proportional to 1,058.88, 1,588.53 and 328.42

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Solution

The fourth proportional to 1,058.88, 1,588.53 and 328.42 is: 492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.88 : 1,588.53 = 328.42 : x
  2. Step 2: Convert to fraction form
    1,058.88/1,588.53 = 328.42/x
  3. Step 3: Cross multiply
    1,058.88x = 1,588.53 × 328.42
  4. Step 4: Simplify right side
    1,058.88x = 521,705.02
  5. Step 5: Solve for x
    x = 521,705.02/1,058.88
  6. Step 6: Final answer
    x = 492.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.