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Finding the Fourth Proportional to 808.64, 1,114.75 and 571.85

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Solution

The fourth proportional to 808.64, 1,114.75 and 571.85 is: 788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.64 : 1,114.75 = 571.85 : x
  2. Step 2: Convert to fraction form
    808.64/1,114.75 = 571.85/x
  3. Step 3: Cross multiply
    808.64x = 1,114.75 × 571.85
  4. Step 4: Simplify right side
    808.64x = 637,465.89
  5. Step 5: Solve for x
    x = 637,465.89/808.64
  6. Step 6: Final answer
    x = 788.32

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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.