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Finding the Fourth Proportional to 1,130.27, 1,558.14 and 757.11

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Solution

The fourth proportional to 1,130.27, 1,558.14 and 757.11 is: 1,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.27 : 1,558.14 = 757.11 : x
  2. Step 2: Convert to fraction form
    1,130.27/1,558.14 = 757.11/x
  3. Step 3: Cross multiply
    1,130.27x = 1,558.14 × 757.11
  4. Step 4: Simplify right side
    1,130.27x = 1,179,686.38
  5. Step 5: Solve for x
    x = 1,179,686.38/1,130.27
  6. Step 6: Final answer
    x = 1,043.72

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.