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Finding the Fourth Proportional to 816, 1,125.70 and 501.16

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Solution

The fourth proportional to 816, 1,125.70 and 501.16 is: 691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    816 : 1,125.70 = 501.16 : x
  2. Step 2: Convert to fraction form
    816/1,125.70 = 501.16/x
  3. Step 3: Cross multiply
    816x = 1,125.70 × 501.16
  4. Step 4: Simplify right side
    816x = 564,155.81
  5. Step 5: Solve for x
    x = 564,155.81/816
  6. Step 6: Final answer
    x = 691.37

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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.