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Finding the Fourth Proportional to 1,008.50, 1,391.62 and 566.34

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Solution

The fourth proportional to 1,008.50, 1,391.62 and 566.34 is: 781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.50 : 1,391.62 = 566.34 : x
  2. Step 2: Convert to fraction form
    1,008.50/1,391.62 = 566.34/x
  3. Step 3: Cross multiply
    1,008.50x = 1,391.62 × 566.34
  4. Step 4: Simplify right side
    1,008.50x = 788,130.07
  5. Step 5: Solve for x
    x = 788,130.07/1,008.50
  6. Step 6: Final answer
    x = 781.49

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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.