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Finding the Fourth Proportional to 1,147.86, 1,713.30 and 1,064.22

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Solution

The fourth proportional to 1,147.86, 1,713.30 and 1,064.22 is: 1,588.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.86 : 1,713.30 = 1,064.22 : x
  2. Step 2: Convert to fraction form
    1,147.86/1,713.30 = 1,064.22/x
  3. Step 3: Cross multiply
    1,147.86x = 1,713.30 × 1,064.22
  4. Step 4: Simplify right side
    1,147.86x = 1,823,328.13
  5. Step 5: Solve for x
    x = 1,823,328.13/1,147.86
  6. Step 6: Final answer
    x = 1,588.46

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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.