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Finding the Fourth Proportional to 1,127.24, 1,688.34 and 651.74

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Solution

The fourth proportional to 1,127.24, 1,688.34 and 651.74 is: 976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.24 : 1,688.34 = 651.74 : x
  2. Step 2: Convert to fraction form
    1,127.24/1,688.34 = 651.74/x
  3. Step 3: Cross multiply
    1,127.24x = 1,688.34 × 651.74
  4. Step 4: Simplify right side
    1,127.24x = 1,100,347.01
  5. Step 5: Solve for x
    x = 1,100,347.01/1,127.24
  6. Step 6: Final answer
    x = 976.14

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