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Finding the Fourth Proportional to 1,062.52, 1,465.48 and 642.40

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Solution

The fourth proportional to 1,062.52, 1,465.48 and 642.40 is: 886.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.52 : 1,465.48 = 642.40 : x
  2. Step 2: Convert to fraction form
    1,062.52/1,465.48 = 642.40/x
  3. Step 3: Cross multiply
    1,062.52x = 1,465.48 × 642.40
  4. Step 4: Simplify right side
    1,062.52x = 941,424.35
  5. Step 5: Solve for x
    x = 941,424.35/1,062.52
  6. Step 6: Final answer
    x = 886.03

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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.