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Finding the Fourth Proportional to 1,062.51, 1,465.39 and 642.83

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Solution

The fourth proportional to 1,062.51, 1,465.39 and 642.83 is: 886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.51 : 1,465.39 = 642.83 : x
  2. Step 2: Convert to fraction form
    1,062.51/1,465.39 = 642.83/x
  3. Step 3: Cross multiply
    1,062.51x = 1,465.39 × 642.83
  4. Step 4: Simplify right side
    1,062.51x = 941,996.65
  5. Step 5: Solve for x
    x = 941,996.65/1,062.51
  6. Step 6: Final answer
    x = 886.58

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