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Finding the Fourth Proportional to 1,127.02, 1,690.26 and 549.76

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Solution

The fourth proportional to 1,127.02, 1,690.26 and 549.76 is: 824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.02 : 1,690.26 = 549.76 : x
  2. Step 2: Convert to fraction form
    1,127.02/1,690.26 = 549.76/x
  3. Step 3: Cross multiply
    1,127.02x = 1,690.26 × 549.76
  4. Step 4: Simplify right side
    1,127.02x = 929,237.34
  5. Step 5: Solve for x
    x = 929,237.34/1,127.02
  6. Step 6: Final answer
    x = 824.51

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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.