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Finding the Fourth Proportional to 705.91, 974.24 and 503.86

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Solution

The fourth proportional to 705.91, 974.24 and 503.86 is: 695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.91 : 974.24 = 503.86 : x
  2. Step 2: Convert to fraction form
    705.91/974.24 = 503.86/x
  3. Step 3: Cross multiply
    705.91x = 974.24 × 503.86
  4. Step 4: Simplify right side
    705.91x = 490,884.83
  5. Step 5: Solve for x
    x = 490,884.83/705.91
  6. Step 6: Final answer
    x = 695.40

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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.