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Finding the Fourth Proportional to 1,106.04, 1,527.18 and 829.41

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Solution

The fourth proportional to 1,106.04, 1,527.18 and 829.41 is: 1,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.04 : 1,527.18 = 829.41 : x
  2. Step 2: Convert to fraction form
    1,106.04/1,527.18 = 829.41/x
  3. Step 3: Cross multiply
    1,106.04x = 1,527.18 × 829.41
  4. Step 4: Simplify right side
    1,106.04x = 1,266,658.36
  5. Step 5: Solve for x
    x = 1,266,658.36/1,106.04
  6. Step 6: Final answer
    x = 1,145.22

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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.