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Finding the Fourth Proportional to 1,527.07, 2,290.39 and 649.93

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Solution

The fourth proportional to 1,527.07, 2,290.39 and 649.93 is: 974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.07 : 2,290.39 = 649.93 : x
  2. Step 2: Convert to fraction form
    1,527.07/2,290.39 = 649.93/x
  3. Step 3: Cross multiply
    1,527.07x = 2,290.39 × 649.93
  4. Step 4: Simplify right side
    1,527.07x = 1,488,593.17
  5. Step 5: Solve for x
    x = 1,488,593.17/1,527.07
  6. Step 6: Final answer
    x = 974.80

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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.