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Finding the Fourth Proportional to 1,159.04, 1,736.29 and 671.07

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Solution

The fourth proportional to 1,159.04, 1,736.29 and 671.07 is: 1,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.04 : 1,736.29 = 671.07 : x
  2. Step 2: Convert to fraction form
    1,159.04/1,736.29 = 671.07/x
  3. Step 3: Cross multiply
    1,159.04x = 1,736.29 × 671.07
  4. Step 4: Simplify right side
    1,159.04x = 1,165,165.94
  5. Step 5: Solve for x
    x = 1,165,165.94/1,159.04
  6. Step 6: Final answer
    x = 1,005.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.