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Finding the Fourth Proportional to 1,160.94, 1,741.41 and 502.28

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Solution

The fourth proportional to 1,160.94, 1,741.41 and 502.28 is: 753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.94 : 1,741.41 = 502.28 : x
  2. Step 2: Convert to fraction form
    1,160.94/1,741.41 = 502.28/x
  3. Step 3: Cross multiply
    1,160.94x = 1,741.41 × 502.28
  4. Step 4: Simplify right side
    1,160.94x = 874,677.81
  5. Step 5: Solve for x
    x = 874,677.81/1,160.94
  6. Step 6: Final answer
    x = 753.42

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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.