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Finding the Fourth Proportional to 1,264.65, 1,896.05 and 597.31

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Solution

The fourth proportional to 1,264.65, 1,896.05 and 597.31 is: 895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.65 : 1,896.05 = 597.31 : x
  2. Step 2: Convert to fraction form
    1,264.65/1,896.05 = 597.31/x
  3. Step 3: Cross multiply
    1,264.65x = 1,896.05 × 597.31
  4. Step 4: Simplify right side
    1,264.65x = 1,132,526.38
  5. Step 5: Solve for x
    x = 1,132,526.38/1,264.65
  6. Step 6: Final answer
    x = 895.53

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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.