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Finding the Fourth Proportional to 1,058.94, 1,461.41 and 586.91

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Solution

The fourth proportional to 1,058.94, 1,461.41 and 586.91 is: 809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.94 : 1,461.41 = 586.91 : x
  2. Step 2: Convert to fraction form
    1,058.94/1,461.41 = 586.91/x
  3. Step 3: Cross multiply
    1,058.94x = 1,461.41 × 586.91
  4. Step 4: Simplify right side
    1,058.94x = 857,719.06
  5. Step 5: Solve for x
    x = 857,719.06/1,058.94
  6. Step 6: Final answer
    x = 809.98

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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.