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Finding the Fourth Proportional to 790.97, 1,089.99 and 569.50

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Solution

The fourth proportional to 790.97, 1,089.99 and 569.50 is: 784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.97 : 1,089.99 = 569.50 : x
  2. Step 2: Convert to fraction form
    790.97/1,089.99 = 569.50/x
  3. Step 3: Cross multiply
    790.97x = 1,089.99 × 569.50
  4. Step 4: Simplify right side
    790.97x = 620,746.58
  5. Step 5: Solve for x
    x = 620,746.58/790.97
  6. Step 6: Final answer
    x = 784.80

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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.