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Finding the Fourth Proportional to 784.94, 1,177.40 and 569.88

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Solution

The fourth proportional to 784.94, 1,177.40 and 569.88 is: 854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.94 : 1,177.40 = 569.88 : x
  2. Step 2: Convert to fraction form
    784.94/1,177.40 = 569.88/x
  3. Step 3: Cross multiply
    784.94x = 1,177.40 × 569.88
  4. Step 4: Simplify right side
    784.94x = 670,978.14
  5. Step 5: Solve for x
    x = 670,978.14/784.94
  6. Step 6: Final answer
    x = 854.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.