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Finding the Fourth Proportional to 702.65, 1,051.90 and 520.86

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Solution

The fourth proportional to 702.65, 1,051.90 and 520.86 is: 779.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.65 : 1,051.90 = 520.86 : x
  2. Step 2: Convert to fraction form
    702.65/1,051.90 = 520.86/x
  3. Step 3: Cross multiply
    702.65x = 1,051.90 × 520.86
  4. Step 4: Simplify right side
    702.65x = 547,890.03
  5. Step 5: Solve for x
    x = 547,890.03/702.65
  6. Step 6: Final answer
    x = 779.75

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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.