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Finding the Fourth Proportional to 1,264.03, 1,744.61 and 837.91

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Solution

The fourth proportional to 1,264.03, 1,744.61 and 837.91 is: 1,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.03 : 1,744.61 = 837.91 : x
  2. Step 2: Convert to fraction form
    1,264.03/1,744.61 = 837.91/x
  3. Step 3: Cross multiply
    1,264.03x = 1,744.61 × 837.91
  4. Step 4: Simplify right side
    1,264.03x = 1,461,814.34
  5. Step 5: Solve for x
    x = 1,461,814.34/1,264.03
  6. Step 6: Final answer
    x = 1,156.47

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