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Finding the Fourth Proportional to 1,008.75, 1,392.15 and 566.70

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Solution

The fourth proportional to 1,008.75, 1,392.15 and 566.70 is: 782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.75 : 1,392.15 = 566.70 : x
  2. Step 2: Convert to fraction form
    1,008.75/1,392.15 = 566.70/x
  3. Step 3: Cross multiply
    1,008.75x = 1,392.15 × 566.70
  4. Step 4: Simplify right side
    1,008.75x = 788,931.41
  5. Step 5: Solve for x
    x = 788,931.41/1,008.75
  6. Step 6: Final answer
    x = 782.09

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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.