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Finding the Fourth Proportional to 753.47, 1,129.93 and 259.74

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Solution

The fourth proportional to 753.47, 1,129.93 and 259.74 is: 389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.47 : 1,129.93 = 259.74 : x
  2. Step 2: Convert to fraction form
    753.47/1,129.93 = 259.74/x
  3. Step 3: Cross multiply
    753.47x = 1,129.93 × 259.74
  4. Step 4: Simplify right side
    753.47x = 293,487.37
  5. Step 5: Solve for x
    x = 293,487.37/753.47
  6. Step 6: Final answer
    x = 389.51

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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.