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Finding the Fourth Proportional to 1,264.02, 1,896.50 and 570.48

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Solution

The fourth proportional to 1,264.02, 1,896.50 and 570.48 is: 855.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.02 : 1,896.50 = 570.48 : x
  2. Step 2: Convert to fraction form
    1,264.02/1,896.50 = 570.48/x
  3. Step 3: Cross multiply
    1,264.02x = 1,896.50 × 570.48
  4. Step 4: Simplify right side
    1,264.02x = 1,081,915.32
  5. Step 5: Solve for x
    x = 1,081,915.32/1,264.02
  6. Step 6: Final answer
    x = 855.93

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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.