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Finding the Fourth Proportional to 786.03, 1,177.69 and 477.24

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Solution

The fourth proportional to 786.03, 1,177.69 and 477.24 is: 715.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.03 : 1,177.69 = 477.24 : x
  2. Step 2: Convert to fraction form
    786.03/1,177.69 = 477.24/x
  3. Step 3: Cross multiply
    786.03x = 1,177.69 × 477.24
  4. Step 4: Simplify right side
    786.03x = 562,039.58
  5. Step 5: Solve for x
    x = 562,039.58/786.03
  6. Step 6: Final answer
    x = 715.04

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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.