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Finding the Fourth Proportional to 1,127.63, 1,690.30 and 541.77

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Solution

The fourth proportional to 1,127.63, 1,690.30 and 541.77 is: 812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.63 : 1,690.30 = 541.77 : x
  2. Step 2: Convert to fraction form
    1,127.63/1,690.30 = 541.77/x
  3. Step 3: Cross multiply
    1,127.63x = 1,690.30 × 541.77
  4. Step 4: Simplify right side
    1,127.63x = 915,753.83
  5. Step 5: Solve for x
    x = 915,753.83/1,127.63
  6. Step 6: Final answer
    x = 812.10

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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.