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Finding the Fourth Proportional to 1,106.99, 1,527.30 and 828.14

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Solution

The fourth proportional to 1,106.99, 1,527.30 and 828.14 is: 1,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.99 : 1,527.30 = 828.14 : x
  2. Step 2: Convert to fraction form
    1,106.99/1,527.30 = 828.14/x
  3. Step 3: Cross multiply
    1,106.99x = 1,527.30 × 828.14
  4. Step 4: Simplify right side
    1,106.99x = 1,264,810.59
  5. Step 5: Solve for x
    x = 1,264,810.59/1,106.99
  6. Step 6: Final answer
    x = 1,142.57

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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.