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Finding the Fourth Proportional to 786.32, 1,178.51 and 688.59

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Solution

The fourth proportional to 786.32, 1,178.51 and 688.59 is: 1,032.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.32 : 1,178.51 = 688.59 : x
  2. Step 2: Convert to fraction form
    786.32/1,178.51 = 688.59/x
  3. Step 3: Cross multiply
    786.32x = 1,178.51 × 688.59
  4. Step 4: Simplify right side
    786.32x = 811,506.76
  5. Step 5: Solve for x
    x = 811,506.76/786.32
  6. Step 6: Final answer
    x = 1,032.03

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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.