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Finding the Fourth Proportional to 1,058.73, 1,588.10 and 278.73

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Solution

The fourth proportional to 1,058.73, 1,588.10 and 278.73 is: 418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.73 : 1,588.10 = 278.73 : x
  2. Step 2: Convert to fraction form
    1,058.73/1,588.10 = 278.73/x
  3. Step 3: Cross multiply
    1,058.73x = 1,588.10 × 278.73
  4. Step 4: Simplify right side
    1,058.73x = 442,651.11
  5. Step 5: Solve for x
    x = 442,651.11/1,058.73
  6. Step 6: Final answer
    x = 418.10

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Double scale
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Why These Related Problems?

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