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Finding the Fourth Proportional to 931.55, 1,284.43 and 772.07

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Solution

The fourth proportional to 931.55, 1,284.43 and 772.07 is: 1,064.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.55 : 1,284.43 = 772.07 : x
  2. Step 2: Convert to fraction form
    931.55/1,284.43 = 772.07/x
  3. Step 3: Cross multiply
    931.55x = 1,284.43 × 772.07
  4. Step 4: Simplify right side
    931.55x = 991,671.15
  5. Step 5: Solve for x
    x = 991,671.15/931.55
  6. Step 6: Final answer
    x = 1,064.54

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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.