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Finding the Fourth Proportional to 857.42, 1,284.34 and 710.83

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Solution

The fourth proportional to 857.42, 1,284.34 and 710.83 is: 1,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.42 : 1,284.34 = 710.83 : x
  2. Step 2: Convert to fraction form
    857.42/1,284.34 = 710.83/x
  3. Step 3: Cross multiply
    857.42x = 1,284.34 × 710.83
  4. Step 4: Simplify right side
    857.42x = 912,941.34
  5. Step 5: Solve for x
    x = 912,941.34/857.42
  6. Step 6: Final answer
    x = 1,064.75

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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.