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Finding the Fourth Proportional to 1,142.92, 1,714.80 and 594.76

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Solution

The fourth proportional to 1,142.92, 1,714.80 and 594.76 is: 892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.92 : 1,714.80 = 594.76 : x
  2. Step 2: Convert to fraction form
    1,142.92/1,714.80 = 594.76/x
  3. Step 3: Cross multiply
    1,142.92x = 1,714.80 × 594.76
  4. Step 4: Simplify right side
    1,142.92x = 1,019,894.45
  5. Step 5: Solve for x
    x = 1,019,894.45/1,142.92
  6. Step 6: Final answer
    x = 892.36

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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.