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Finding the Fourth Proportional to 1,527.64, 2,290.99 and 650.13

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Solution

The fourth proportional to 1,527.64, 2,290.99 and 650.13 is: 975.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.64 : 2,290.99 = 650.13 : x
  2. Step 2: Convert to fraction form
    1,527.64/2,290.99 = 650.13/x
  3. Step 3: Cross multiply
    1,527.64x = 2,290.99 × 650.13
  4. Step 4: Simplify right side
    1,527.64x = 1,489,439.70
  5. Step 5: Solve for x
    x = 1,489,439.70/1,527.64
  6. Step 6: Final answer
    x = 975.00

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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.