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Finding the Fourth Proportional to 1,502.90, 2,074 and 864.94

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Solution

The fourth proportional to 1,502.90, 2,074 and 864.94 is: 1,193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.90 : 2,074 = 864.94 : x
  2. Step 2: Convert to fraction form
    1,502.90/2,074 = 864.94/x
  3. Step 3: Cross multiply
    1,502.90x = 2,074 × 864.94
  4. Step 4: Simplify right side
    1,502.90x = 1,793,885.56
  5. Step 5: Solve for x
    x = 1,793,885.56/1,502.90
  6. Step 6: Final answer
    x = 1,193.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.