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Finding the Fourth Proportional to 1,527.48, 2,292.86 and 603

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Solution

The fourth proportional to 1,527.48, 2,292.86 and 603 is: 905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.48 : 2,292.86 = 603 : x
  2. Step 2: Convert to fraction form
    1,527.48/2,292.86 = 603/x
  3. Step 3: Cross multiply
    1,527.48x = 2,292.86 × 603
  4. Step 4: Simplify right side
    1,527.48x = 1,382,594.58
  5. Step 5: Solve for x
    x = 1,382,594.58/1,527.48
  6. Step 6: Final answer
    x = 905.15

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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.