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Finding the Fourth Proportional to 1,038.06, 1,431.14 and 860.36

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Solution

The fourth proportional to 1,038.06, 1,431.14 and 860.36 is: 1,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.06 : 1,431.14 = 860.36 : x
  2. Step 2: Convert to fraction form
    1,038.06/1,431.14 = 860.36/x
  3. Step 3: Cross multiply
    1,038.06x = 1,431.14 × 860.36
  4. Step 4: Simplify right side
    1,038.06x = 1,231,284.15
  5. Step 5: Solve for x
    x = 1,231,284.15/1,038.06
  6. Step 6: Final answer
    x = 1,186.14

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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.