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Finding the Fourth Proportional to 1,058.93, 1,461.30 and 586.81

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Solution

The fourth proportional to 1,058.93, 1,461.30 and 586.81 is: 809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.93 : 1,461.30 = 586.81 : x
  2. Step 2: Convert to fraction form
    1,058.93/1,461.30 = 586.81/x
  3. Step 3: Cross multiply
    1,058.93x = 1,461.30 × 586.81
  4. Step 4: Simplify right side
    1,058.93x = 857,503.04
  5. Step 5: Solve for x
    x = 857,503.04/1,058.93
  6. Step 6: Final answer
    x = 809.78

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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.