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Finding the Fourth Proportional to 1,539.64, 2,309.40 and 499.60

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Solution

The fourth proportional to 1,539.64, 2,309.40 and 499.60 is: 749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.64 : 2,309.40 = 499.60 : x
  2. Step 2: Convert to fraction form
    1,539.64/2,309.40 = 499.60/x
  3. Step 3: Cross multiply
    1,539.64x = 2,309.40 × 499.60
  4. Step 4: Simplify right side
    1,539.64x = 1,153,776.24
  5. Step 5: Solve for x
    x = 1,153,776.24/1,539.64
  6. Step 6: Final answer
    x = 749.38

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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.