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Finding the Fourth Proportional to 1,271.99, 1,756.14 and 831.13

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Solution

The fourth proportional to 1,271.99, 1,756.14 and 831.13 is: 1,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.99 : 1,756.14 = 831.13 : x
  2. Step 2: Convert to fraction form
    1,271.99/1,756.14 = 831.13/x
  3. Step 3: Cross multiply
    1,271.99x = 1,756.14 × 831.13
  4. Step 4: Simplify right side
    1,271.99x = 1,459,580.64
  5. Step 5: Solve for x
    x = 1,459,580.64/1,271.99
  6. Step 6: Final answer
    x = 1,147.48

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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.