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Finding the Fourth Proportional to 1,158.04, 1,596.66 and 764.44

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Solution

The fourth proportional to 1,158.04, 1,596.66 and 764.44 is: 1,053.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.04 : 1,596.66 = 764.44 : x
  2. Step 2: Convert to fraction form
    1,158.04/1,596.66 = 764.44/x
  3. Step 3: Cross multiply
    1,158.04x = 1,596.66 × 764.44
  4. Step 4: Simplify right side
    1,158.04x = 1,220,550.77
  5. Step 5: Solve for x
    x = 1,220,550.77/1,158.04
  6. Step 6: Final answer
    x = 1,053.98

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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.