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Finding the Fourth Proportional to 1,058.36, 1,587.64 and 400.07

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Solution

The fourth proportional to 1,058.36, 1,587.64 and 400.07 is: 600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.36 : 1,587.64 = 400.07 : x
  2. Step 2: Convert to fraction form
    1,058.36/1,587.64 = 400.07/x
  3. Step 3: Cross multiply
    1,058.36x = 1,587.64 × 400.07
  4. Step 4: Simplify right side
    1,058.36x = 635,167.13
  5. Step 5: Solve for x
    x = 635,167.13/1,058.36
  6. Step 6: Final answer
    x = 600.14

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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.