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Finding the Fourth Proportional to 790.52, 1,184.63 and 543.47

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Solution

The fourth proportional to 790.52, 1,184.63 and 543.47 is: 814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.52 : 1,184.63 = 543.47 : x
  2. Step 2: Convert to fraction form
    790.52/1,184.63 = 543.47/x
  3. Step 3: Cross multiply
    790.52x = 1,184.63 × 543.47
  4. Step 4: Simplify right side
    790.52x = 643,802.23
  5. Step 5: Solve for x
    x = 643,802.23/790.52
  6. Step 6: Final answer
    x = 814.41

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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.