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Finding the Fourth Proportional to 1,156.08, 1,596.21 and 763.92

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Solution

The fourth proportional to 1,156.08, 1,596.21 and 763.92 is: 1,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.08 : 1,596.21 = 763.92 : x
  2. Step 2: Convert to fraction form
    1,156.08/1,596.21 = 763.92/x
  3. Step 3: Cross multiply
    1,156.08x = 1,596.21 × 763.92
  4. Step 4: Simplify right side
    1,156.08x = 1,219,376.74
  5. Step 5: Solve for x
    x = 1,219,376.74/1,156.08
  6. Step 6: Final answer
    x = 1,054.75

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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.