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Finding the Fourth Proportional to 753.01, 1,129.40 and 259.50

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Solution

The fourth proportional to 753.01, 1,129.40 and 259.50 is: 389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.01 : 1,129.40 = 259.50 : x
  2. Step 2: Convert to fraction form
    753.01/1,129.40 = 259.50/x
  3. Step 3: Cross multiply
    753.01x = 1,129.40 × 259.50
  4. Step 4: Simplify right side
    753.01x = 293,074.30
  5. Step 5: Solve for x
    x = 293,074.30/753.01
  6. Step 6: Final answer
    x = 389.20

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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.