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Finding the Fourth Proportional to 857.03, 1,283.50 and 672.50

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Solution

The fourth proportional to 857.03, 1,283.50 and 672.50 is: 1,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.03 : 1,283.50 = 672.50 : x
  2. Step 2: Convert to fraction form
    857.03/1,283.50 = 672.50/x
  3. Step 3: Cross multiply
    857.03x = 1,283.50 × 672.50
  4. Step 4: Simplify right side
    857.03x = 863,154.02
  5. Step 5: Solve for x
    x = 863,154.02/857.03
  6. Step 6: Final answer
    x = 1,007.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.