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Finding the Fourth Proportional to 1,154.86, 1,594.35 and 762.56

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Solution

The fourth proportional to 1,154.86, 1,594.35 and 762.56 is: 1,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.86 : 1,594.35 = 762.56 : x
  2. Step 2: Convert to fraction form
    1,154.86/1,594.35 = 762.56/x
  3. Step 3: Cross multiply
    1,154.86x = 1,594.35 × 762.56
  4. Step 4: Simplify right side
    1,154.86x = 1,215,794.51
  5. Step 5: Solve for x
    x = 1,215,794.51/1,154.86
  6. Step 6: Final answer
    x = 1,052.77

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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.