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Finding the Fourth Proportional to 1,145.81, 1,582.53 and 754.58

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Solution

The fourth proportional to 1,145.81, 1,582.53 and 754.58 is: 1,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.81 : 1,582.53 = 754.58 : x
  2. Step 2: Convert to fraction form
    1,145.81/1,582.53 = 754.58/x
  3. Step 3: Cross multiply
    1,145.81x = 1,582.53 × 754.58
  4. Step 4: Simplify right side
    1,145.81x = 1,194,145.49
  5. Step 5: Solve for x
    x = 1,194,145.49/1,145.81
  6. Step 6: Final answer
    x = 1,042.18

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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.