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Finding the Fourth Proportional to 1,598.27, 2,398.09 and 776.55

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Solution

The fourth proportional to 1,598.27, 2,398.09 and 776.55 is: 1,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.27 : 2,398.09 = 776.55 : x
  2. Step 2: Convert to fraction form
    1,598.27/2,398.09 = 776.55/x
  3. Step 3: Cross multiply
    1,598.27x = 2,398.09 × 776.55
  4. Step 4: Simplify right side
    1,598.27x = 1,862,236.79
  5. Step 5: Solve for x
    x = 1,862,236.79/1,598.27
  6. Step 6: Final answer
    x = 1,165.16

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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.