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Finding the Fourth Proportional to 784, 1,175.04 and 702.08

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Solution

The fourth proportional to 784, 1,175.04 and 702.08 is: 1,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    784 : 1,175.04 = 702.08 : x
  2. Step 2: Convert to fraction form
    784/1,175.04 = 702.08/x
  3. Step 3: Cross multiply
    784x = 1,175.04 × 702.08
  4. Step 4: Simplify right side
    784x = 824,972.08
  5. Step 5: Solve for x
    x = 824,972.08/784
  6. Step 6: Final answer
    x = 1,052.26

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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.