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Finding the Fourth Proportional to 1,180.84, 1,772.54 and 497.32

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Solution

The fourth proportional to 1,180.84, 1,772.54 and 497.32 is: 746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.84 : 1,772.54 = 497.32 : x
  2. Step 2: Convert to fraction form
    1,180.84/1,772.54 = 497.32/x
  3. Step 3: Cross multiply
    1,180.84x = 1,772.54 × 497.32
  4. Step 4: Simplify right side
    1,180.84x = 881,519.59
  5. Step 5: Solve for x
    x = 881,519.59/1,180.84
  6. Step 6: Final answer
    x = 746.52

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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.