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Finding the Fourth Proportional to 695.52, 1,043.16 and 284.64

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Solution

The fourth proportional to 695.52, 1,043.16 and 284.64 is: 426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.52 : 1,043.16 = 284.64 : x
  2. Step 2: Convert to fraction form
    695.52/1,043.16 = 284.64/x
  3. Step 3: Cross multiply
    695.52x = 1,043.16 × 284.64
  4. Step 4: Simplify right side
    695.52x = 296,925.06
  5. Step 5: Solve for x
    x = 296,925.06/695.52
  6. Step 6: Final answer
    x = 426.91

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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.