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Finding the Fourth Proportional to 783.40, 1,175.10 and 688.36

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Solution

The fourth proportional to 783.40, 1,175.10 and 688.36 is: 1,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.40 : 1,175.10 = 688.36 : x
  2. Step 2: Convert to fraction form
    783.40/1,175.10 = 688.36/x
  3. Step 3: Cross multiply
    783.40x = 1,175.10 × 688.36
  4. Step 4: Simplify right side
    783.40x = 808,891.84
  5. Step 5: Solve for x
    x = 808,891.84/783.40
  6. Step 6: Final answer
    x = 1,032.54

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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.