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Finding the Fourth Proportional to 854.68, 1,284.53 and 709.36

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Solution

The fourth proportional to 854.68, 1,284.53 and 709.36 is: 1,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.68 : 1,284.53 = 709.36 : x
  2. Step 2: Convert to fraction form
    854.68/1,284.53 = 709.36/x
  3. Step 3: Cross multiply
    854.68x = 1,284.53 × 709.36
  4. Step 4: Simplify right side
    854.68x = 911,193.43
  5. Step 5: Solve for x
    x = 911,193.43/854.68
  6. Step 6: Final answer
    x = 1,066.13

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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.