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Finding the Fourth Proportional to 1,062.68, 1,594.37 and 507.83

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Solution

The fourth proportional to 1,062.68, 1,594.37 and 507.83 is: 761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.68 : 1,594.37 = 507.83 : x
  2. Step 2: Convert to fraction form
    1,062.68/1,594.37 = 507.83/x
  3. Step 3: Cross multiply
    1,062.68x = 1,594.37 × 507.83
  4. Step 4: Simplify right side
    1,062.68x = 809,662.21
  5. Step 5: Solve for x
    x = 809,662.21/1,062.68
  6. Step 6: Final answer
    x = 761.91

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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.