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Finding the Fourth Proportional to 1,058.40, 1,460.78 and 665.12

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Solution

The fourth proportional to 1,058.40, 1,460.78 and 665.12 is: 917.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.40 : 1,460.78 = 665.12 : x
  2. Step 2: Convert to fraction form
    1,058.40/1,460.78 = 665.12/x
  3. Step 3: Cross multiply
    1,058.40x = 1,460.78 × 665.12
  4. Step 4: Simplify right side
    1,058.40x = 971,593.99
  5. Step 5: Solve for x
    x = 971,593.99/1,058.40
  6. Step 6: Final answer
    x = 917.98

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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.