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Finding the Fourth Proportional to 1,026.02, 1,415.25 and 711.14

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Solution

The fourth proportional to 1,026.02, 1,415.25 and 711.14 is: 980.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.02 : 1,415.25 = 711.14 : x
  2. Step 2: Convert to fraction form
    1,026.02/1,415.25 = 711.14/x
  3. Step 3: Cross multiply
    1,026.02x = 1,415.25 × 711.14
  4. Step 4: Simplify right side
    1,026.02x = 1,006,433.81
  5. Step 5: Solve for x
    x = 1,006,433.81/1,026.02
  6. Step 6: Final answer
    x = 980.92

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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.