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Finding the Fourth Proportional to 784.77, 1,083.02 and 545.55

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Solution

The fourth proportional to 784.77, 1,083.02 and 545.55 is: 752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.77 : 1,083.02 = 545.55 : x
  2. Step 2: Convert to fraction form
    784.77/1,083.02 = 545.55/x
  3. Step 3: Cross multiply
    784.77x = 1,083.02 × 545.55
  4. Step 4: Simplify right side
    784.77x = 590,838.83
  5. Step 5: Solve for x
    x = 590,838.83/784.77
  6. Step 6: Final answer
    x = 752.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.