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Finding the Fourth Proportional to 1,142.70, 1,714.62 and 776.74

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Solution

The fourth proportional to 1,142.70, 1,714.62 and 776.74 is: 1,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.70 : 1,714.62 = 776.74 : x
  2. Step 2: Convert to fraction form
    1,142.70/1,714.62 = 776.74/x
  3. Step 3: Cross multiply
    1,142.70x = 1,714.62 × 776.74
  4. Step 4: Simplify right side
    1,142.70x = 1,331,813.94
  5. Step 5: Solve for x
    x = 1,331,813.94/1,142.70
  6. Step 6: Final answer
    x = 1,165.50

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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.