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Finding the Fourth Proportional to 1,058.78, 1,588.71 and 409.97

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Solution

The fourth proportional to 1,058.78, 1,588.71 and 409.97 is: 615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.78 : 1,588.71 = 409.97 : x
  2. Step 2: Convert to fraction form
    1,058.78/1,588.71 = 409.97/x
  3. Step 3: Cross multiply
    1,058.78x = 1,588.71 × 409.97
  4. Step 4: Simplify right side
    1,058.78x = 651,323.44
  5. Step 5: Solve for x
    x = 651,323.44/1,058.78
  6. Step 6: Final answer
    x = 615.16

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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.