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Finding the Fourth Proportional to 1,159.36, 1,745.93 and 1,045.15

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Solution

The fourth proportional to 1,159.36, 1,745.93 and 1,045.15 is: 1,573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.36 : 1,745.93 = 1,045.15 : x
  2. Step 2: Convert to fraction form
    1,159.36/1,745.93 = 1,045.15/x
  3. Step 3: Cross multiply
    1,159.36x = 1,745.93 × 1,045.15
  4. Step 4: Simplify right side
    1,159.36x = 1,824,758.74
  5. Step 5: Solve for x
    x = 1,824,758.74/1,159.36
  6. Step 6: Final answer
    x = 1,573.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.