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Finding the Fourth Proportional to 1,058.42, 1,460.59 and 586.34

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Solution

The fourth proportional to 1,058.42, 1,460.59 and 586.34 is: 809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.42 : 1,460.59 = 586.34 : x
  2. Step 2: Convert to fraction form
    1,058.42/1,460.59 = 586.34/x
  3. Step 3: Cross multiply
    1,058.42x = 1,460.59 × 586.34
  4. Step 4: Simplify right side
    1,058.42x = 856,400.28
  5. Step 5: Solve for x
    x = 856,400.28/1,058.42
  6. Step 6: Final answer
    x = 809.13

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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.