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Finding the Fourth Proportional to 1,760.64, 2,429.76 and 1,062

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Solution

The fourth proportional to 1,760.64, 2,429.76 and 1,062 is: 1,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.64 : 2,429.76 = 1,062 : x
  2. Step 2: Convert to fraction form
    1,760.64/2,429.76 = 1,062/x
  3. Step 3: Cross multiply
    1,760.64x = 2,429.76 × 1,062
  4. Step 4: Simplify right side
    1,760.64x = 2,580,405.12
  5. Step 5: Solve for x
    x = 2,580,405.12/1,760.64
  6. Step 6: Final answer
    x = 1,465.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.