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Finding the Fourth Proportional to 1,527.39, 2,289.69 and 553.28

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Solution

The fourth proportional to 1,527.39, 2,289.69 and 553.28 is: 829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.39 : 2,289.69 = 553.28 : x
  2. Step 2: Convert to fraction form
    1,527.39/2,289.69 = 553.28/x
  3. Step 3: Cross multiply
    1,527.39x = 2,289.69 × 553.28
  4. Step 4: Simplify right side
    1,527.39x = 1,266,828.23
  5. Step 5: Solve for x
    x = 1,266,828.23/1,527.39
  6. Step 6: Final answer
    x = 829.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.