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Finding the Fourth Proportional to 1,527.54, 2,291.66 and 649.60

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Solution

The fourth proportional to 1,527.54, 2,291.66 and 649.60 is: 974.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.54 : 2,291.66 = 649.60 : x
  2. Step 2: Convert to fraction form
    1,527.54/2,291.66 = 649.60/x
  3. Step 3: Cross multiply
    1,527.54x = 2,291.66 × 649.60
  4. Step 4: Simplify right side
    1,527.54x = 1,488,655.79
  5. Step 5: Solve for x
    x = 1,488,655.79/1,527.54
  6. Step 6: Final answer
    x = 974.55

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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.