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Finding the Fourth Proportional to 1,058.42, 1,587.58 and 278.41

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Solution

The fourth proportional to 1,058.42, 1,587.58 and 278.41 is: 417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.42 : 1,587.58 = 278.41 : x
  2. Step 2: Convert to fraction form
    1,058.42/1,587.58 = 278.41/x
  3. Step 3: Cross multiply
    1,058.42x = 1,587.58 × 278.41
  4. Step 4: Simplify right side
    1,058.42x = 441,990.21
  5. Step 5: Solve for x
    x = 441,990.21/1,058.42
  6. Step 6: Final answer
    x = 417.59

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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.