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Finding the Fourth Proportional to 857.70, 1,183.62 and 503.84

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Solution

The fourth proportional to 857.70, 1,183.62 and 503.84 is: 695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.70 : 1,183.62 = 503.84 : x
  2. Step 2: Convert to fraction form
    857.70/1,183.62 = 503.84/x
  3. Step 3: Cross multiply
    857.70x = 1,183.62 × 503.84
  4. Step 4: Simplify right side
    857.70x = 596,349.18
  5. Step 5: Solve for x
    x = 596,349.18/857.70
  6. Step 6: Final answer
    x = 695.29

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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.