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Finding the Fourth Proportional to 1,527.02, 2,291.43 and 661.34

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Solution

The fourth proportional to 1,527.02, 2,291.43 and 661.34 is: 992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.02 : 2,291.43 = 661.34 : x
  2. Step 2: Convert to fraction form
    1,527.02/2,291.43 = 661.34/x
  3. Step 3: Cross multiply
    1,527.02x = 2,291.43 × 661.34
  4. Step 4: Simplify right side
    1,527.02x = 1,515,402.86
  5. Step 5: Solve for x
    x = 1,515,402.86/1,527.02
  6. Step 6: Final answer
    x = 992.40

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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.