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Finding the Fourth Proportional to 1,058.42, 1,586.18 and 509.52

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Solution

The fourth proportional to 1,058.42, 1,586.18 and 509.52 is: 763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.42 : 1,586.18 = 509.52 : x
  2. Step 2: Convert to fraction form
    1,058.42/1,586.18 = 509.52/x
  3. Step 3: Cross multiply
    1,058.42x = 1,586.18 × 509.52
  4. Step 4: Simplify right side
    1,058.42x = 808,190.43
  5. Step 5: Solve for x
    x = 808,190.43/1,058.42
  6. Step 6: Final answer
    x = 763.58

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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.