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Finding the Fourth Proportional to 1,071.09, 1,478.12 and 651.46

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Solution

The fourth proportional to 1,071.09, 1,478.12 and 651.46 is: 899.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.09 : 1,478.12 = 651.46 : x
  2. Step 2: Convert to fraction form
    1,071.09/1,478.12 = 651.46/x
  3. Step 3: Cross multiply
    1,071.09x = 1,478.12 × 651.46
  4. Step 4: Simplify right side
    1,071.09x = 962,936.24
  5. Step 5: Solve for x
    x = 962,936.24/1,071.09
  6. Step 6: Final answer
    x = 899.03

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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.