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Finding the Fourth Proportional to 920.64, 1,270.59 and 571.14

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Solution

The fourth proportional to 920.64, 1,270.59 and 571.14 is: 788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.64 : 1,270.59 = 571.14 : x
  2. Step 2: Convert to fraction form
    920.64/1,270.59 = 571.14/x
  3. Step 3: Cross multiply
    920.64x = 1,270.59 × 571.14
  4. Step 4: Simplify right side
    920.64x = 725,684.77
  5. Step 5: Solve for x
    x = 725,684.77/920.64
  6. Step 6: Final answer
    x = 788.24

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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.