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Finding the Fourth Proportional to 1,159.57, 1,738.27 and 509.77

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Solution

The fourth proportional to 1,159.57, 1,738.27 and 509.77 is: 764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.57 : 1,738.27 = 509.77 : x
  2. Step 2: Convert to fraction form
    1,159.57/1,738.27 = 509.77/x
  3. Step 3: Cross multiply
    1,159.57x = 1,738.27 × 509.77
  4. Step 4: Simplify right side
    1,159.57x = 886,117.90
  5. Step 5: Solve for x
    x = 886,117.90/1,159.57
  6. Step 6: Final answer
    x = 764.18

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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.