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Finding the Fourth Proportional to 783.65, 1,175.34 and 477.47

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Solution

The fourth proportional to 783.65, 1,175.34 and 477.47 is: 716.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.65 : 1,175.34 = 477.47 : x
  2. Step 2: Convert to fraction form
    783.65/1,175.34 = 477.47/x
  3. Step 3: Cross multiply
    783.65x = 1,175.34 × 477.47
  4. Step 4: Simplify right side
    783.65x = 561,189.59
  5. Step 5: Solve for x
    x = 561,189.59/783.65
  6. Step 6: Final answer
    x = 716.12

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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.