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Finding the Fourth Proportional to 1,739.85, 2,610.04 and 507.10

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Solution

The fourth proportional to 1,739.85, 2,610.04 and 507.10 is: 760.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.85 : 2,610.04 = 507.10 : x
  2. Step 2: Convert to fraction form
    1,739.85/2,610.04 = 507.10/x
  3. Step 3: Cross multiply
    1,739.85x = 2,610.04 × 507.10
  4. Step 4: Simplify right side
    1,739.85x = 1,323,551.28
  5. Step 5: Solve for x
    x = 1,323,551.28/1,739.85
  6. Step 6: Final answer
    x = 760.73

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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.