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Finding the Fourth Proportional to 1,527.65, 2,108.15 and 829.03

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Solution

The fourth proportional to 1,527.65, 2,108.15 and 829.03 is: 1,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.65 : 2,108.15 = 829.03 : x
  2. Step 2: Convert to fraction form
    1,527.65/2,108.15 = 829.03/x
  3. Step 3: Cross multiply
    1,527.65x = 2,108.15 × 829.03
  4. Step 4: Simplify right side
    1,527.65x = 1,747,719.59
  5. Step 5: Solve for x
    x = 1,747,719.59/1,527.65
  6. Step 6: Final answer
    x = 1,144.06

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1.5x scale

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.