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Finding the Fourth Proportional to 1,246.34, 1,869.92 and 597.13

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Solution

The fourth proportional to 1,246.34, 1,869.92 and 597.13 is: 895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.34 : 1,869.92 = 597.13 : x
  2. Step 2: Convert to fraction form
    1,246.34/1,869.92 = 597.13/x
  3. Step 3: Cross multiply
    1,246.34x = 1,869.92 × 597.13
  4. Step 4: Simplify right side
    1,246.34x = 1,116,585.33
  5. Step 5: Solve for x
    x = 1,116,585.33/1,246.34
  6. Step 6: Final answer
    x = 895.89

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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.