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Finding the Fourth Proportional to 1,058.82, 1,586.90 and 538.95

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Solution

The fourth proportional to 1,058.82, 1,586.90 and 538.95 is: 807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.82 : 1,586.90 = 538.95 : x
  2. Step 2: Convert to fraction form
    1,058.82/1,586.90 = 538.95/x
  3. Step 3: Cross multiply
    1,058.82x = 1,586.90 × 538.95
  4. Step 4: Simplify right side
    1,058.82x = 855,259.76
  5. Step 5: Solve for x
    x = 855,259.76/1,058.82
  6. Step 6: Final answer
    x = 807.75

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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.