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Finding the Fourth Proportional to 1,145.05, 1,580.04 and 846.46

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Solution

The fourth proportional to 1,145.05, 1,580.04 and 846.46 is: 1,168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.05 : 1,580.04 = 846.46 : x
  2. Step 2: Convert to fraction form
    1,145.05/1,580.04 = 846.46/x
  3. Step 3: Cross multiply
    1,145.05x = 1,580.04 × 846.46
  4. Step 4: Simplify right side
    1,145.05x = 1,337,440.66
  5. Step 5: Solve for x
    x = 1,337,440.66/1,145.05
  6. Step 6: Final answer
    x = 1,168.02

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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.