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Finding the Fourth Proportional to 1,058.16, 1,587.12 and 327.60

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Solution

The fourth proportional to 1,058.16, 1,587.12 and 327.60 is: 491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.16 : 1,587.12 = 327.60 : x
  2. Step 2: Convert to fraction form
    1,058.16/1,587.12 = 327.60/x
  3. Step 3: Cross multiply
    1,058.16x = 1,587.12 × 327.60
  4. Step 4: Simplify right side
    1,058.16x = 519,940.51
  5. Step 5: Solve for x
    x = 519,940.51/1,058.16
  6. Step 6: Final answer
    x = 491.36

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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.