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Finding the Fourth Proportional to 772.86, 1,153.64 and 708.06

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Solution

The fourth proportional to 772.86, 1,153.64 and 708.06 is: 1,056.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.86 : 1,153.64 = 708.06 : x
  2. Step 2: Convert to fraction form
    772.86/1,153.64 = 708.06/x
  3. Step 3: Cross multiply
    772.86x = 1,153.64 × 708.06
  4. Step 4: Simplify right side
    772.86x = 816,846.34
  5. Step 5: Solve for x
    x = 816,846.34/772.86
  6. Step 6: Final answer
    x = 1,056.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.