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Finding the Fourth Proportional to 702.30, 969.03 and 571.08

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Solution

The fourth proportional to 702.30, 969.03 and 571.08 is: 787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.30 : 969.03 = 571.08 : x
  2. Step 2: Convert to fraction form
    702.30/969.03 = 571.08/x
  3. Step 3: Cross multiply
    702.30x = 969.03 × 571.08
  4. Step 4: Simplify right side
    702.30x = 553,393.65
  5. Step 5: Solve for x
    x = 553,393.65/702.30
  6. Step 6: Final answer
    x = 787.97

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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.