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Finding the Fourth Proportional to 949.56, 1,415.19 and 930.36

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Solution

The fourth proportional to 949.56, 1,415.19 and 930.36 is: 1,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.56 : 1,415.19 = 930.36 : x
  2. Step 2: Convert to fraction form
    949.56/1,415.19 = 930.36/x
  3. Step 3: Cross multiply
    949.56x = 1,415.19 × 930.36
  4. Step 4: Simplify right side
    949.56x = 1,316,636.17
  5. Step 5: Solve for x
    x = 1,316,636.17/949.56
  6. Step 6: Final answer
    x = 1,386.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.