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Finding the Fourth Proportional to 1,058.60, 1,588.07 and 442.33

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Solution

The fourth proportional to 1,058.60, 1,588.07 and 442.33 is: 663.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.60 : 1,588.07 = 442.33 : x
  2. Step 2: Convert to fraction form
    1,058.60/1,588.07 = 442.33/x
  3. Step 3: Cross multiply
    1,058.60x = 1,588.07 × 442.33
  4. Step 4: Simplify right side
    1,058.60x = 702,448.14
  5. Step 5: Solve for x
    x = 702,448.14/1,058.60
  6. Step 6: Final answer
    x = 663.56

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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.