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Finding the Fourth Proportional to 1,058.25, 1,585.96 and 595.84

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Solution

The fourth proportional to 1,058.25, 1,585.96 and 595.84 is: 892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.25 : 1,585.96 = 595.84 : x
  2. Step 2: Convert to fraction form
    1,058.25/1,585.96 = 595.84/x
  3. Step 3: Cross multiply
    1,058.25x = 1,585.96 × 595.84
  4. Step 4: Simplify right side
    1,058.25x = 944,978.41
  5. Step 5: Solve for x
    x = 944,978.41/1,058.25
  6. Step 6: Final answer
    x = 892.96

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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.