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Finding the Fourth Proportional to 1,527.38, 2,289.71 and 553.26

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Solution

The fourth proportional to 1,527.38, 2,289.71 and 553.26 is: 829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.38 : 2,289.71 = 553.26 : x
  2. Step 2: Convert to fraction form
    1,527.38/2,289.71 = 553.26/x
  3. Step 3: Cross multiply
    1,527.38x = 2,289.71 × 553.26
  4. Step 4: Simplify right side
    1,527.38x = 1,266,802.19
  5. Step 5: Solve for x
    x = 1,266,802.19/1,527.38
  6. Step 6: Final answer
    x = 829.40

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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.