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Finding the Fourth Proportional to 1,161.24, 1,602.50 and 719.25

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Solution

The fourth proportional to 1,161.24, 1,602.50 and 719.25 is: 992.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.24 : 1,602.50 = 719.25 : x
  2. Step 2: Convert to fraction form
    1,161.24/1,602.50 = 719.25/x
  3. Step 3: Cross multiply
    1,161.24x = 1,602.50 × 719.25
  4. Step 4: Simplify right side
    1,161.24x = 1,152,594.53
  5. Step 5: Solve for x
    x = 1,152,594.53/1,161.24
  6. Step 6: Final answer
    x = 992.55

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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.