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Finding the Fourth Proportional to 1,058.19, 1,459.90 and 664.53

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Solution

The fourth proportional to 1,058.19, 1,459.90 and 664.53 is: 916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.19 : 1,459.90 = 664.53 : x
  2. Step 2: Convert to fraction form
    1,058.19/1,459.90 = 664.53/x
  3. Step 3: Cross multiply
    1,058.19x = 1,459.90 × 664.53
  4. Step 4: Simplify right side
    1,058.19x = 970,147.35
  5. Step 5: Solve for x
    x = 970,147.35/1,058.19
  6. Step 6: Final answer
    x = 916.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.