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Finding the Fourth Proportional to 783.21, 1,170.56 and 619.19

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Solution

The fourth proportional to 783.21, 1,170.56 and 619.19 is: 925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.21 : 1,170.56 = 619.19 : x
  2. Step 2: Convert to fraction form
    783.21/1,170.56 = 619.19/x
  3. Step 3: Cross multiply
    783.21x = 1,170.56 × 619.19
  4. Step 4: Simplify right side
    783.21x = 724,790.10
  5. Step 5: Solve for x
    x = 724,790.10/783.21
  6. Step 6: Final answer
    x = 925.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.