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Finding the Fourth Proportional to 1,607.79, 2,410.65 and 496.83

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Solution

The fourth proportional to 1,607.79, 2,410.65 and 496.83 is: 744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.79 : 2,410.65 = 496.83 : x
  2. Step 2: Convert to fraction form
    1,607.79/2,410.65 = 496.83/x
  3. Step 3: Cross multiply
    1,607.79x = 2,410.65 × 496.83
  4. Step 4: Simplify right side
    1,607.79x = 1,197,683.24
  5. Step 5: Solve for x
    x = 1,197,683.24/1,607.79
  6. Step 6: Final answer
    x = 744.93

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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.