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Finding the Fourth Proportional to 1,058.74, 1,587.30 and 538.96

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Solution

The fourth proportional to 1,058.74, 1,587.30 and 538.96 is: 808.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.74 : 1,587.30 = 538.96 : x
  2. Step 2: Convert to fraction form
    1,058.74/1,587.30 = 538.96/x
  3. Step 3: Cross multiply
    1,058.74x = 1,587.30 × 538.96
  4. Step 4: Simplify right side
    1,058.74x = 855,491.21
  5. Step 5: Solve for x
    x = 855,491.21/1,058.74
  6. Step 6: Final answer
    x = 808.03

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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.