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Finding the Fourth Proportional to 1,409.61, 2,113.71 and 793.16

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Solution

The fourth proportional to 1,409.61, 2,113.71 and 793.16 is: 1,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.61 : 2,113.71 = 793.16 : x
  2. Step 2: Convert to fraction form
    1,409.61/2,113.71 = 793.16/x
  3. Step 3: Cross multiply
    1,409.61x = 2,113.71 × 793.16
  4. Step 4: Simplify right side
    1,409.61x = 1,676,510.22
  5. Step 5: Solve for x
    x = 1,676,510.22/1,409.61
  6. Step 6: Final answer
    x = 1,189.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.