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Finding the Fourth Proportional to 1,190.15, 1,782.76 and 702.93

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Solution

The fourth proportional to 1,190.15, 1,782.76 and 702.93 is: 1,052.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.15 : 1,782.76 = 702.93 : x
  2. Step 2: Convert to fraction form
    1,190.15/1,782.76 = 702.93/x
  3. Step 3: Cross multiply
    1,190.15x = 1,782.76 × 702.93
  4. Step 4: Simplify right side
    1,190.15x = 1,253,155.49
  5. Step 5: Solve for x
    x = 1,253,155.49/1,190.15
  6. Step 6: Final answer
    x = 1,052.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.