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Finding the Fourth Proportional to 777.51, 1,165.02 and 543.02

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Solution

The fourth proportional to 777.51, 1,165.02 and 543.02 is: 813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.51 : 1,165.02 = 543.02 : x
  2. Step 2: Convert to fraction form
    777.51/1,165.02 = 543.02/x
  3. Step 3: Cross multiply
    777.51x = 1,165.02 × 543.02
  4. Step 4: Simplify right side
    777.51x = 632,623.34
  5. Step 5: Solve for x
    x = 632,623.34/777.51
  6. Step 6: Final answer
    x = 813.65

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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.