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Finding the Fourth Proportional to 1,133.74, 1,569.06 and 1,106.47

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Solution

The fourth proportional to 1,133.74, 1,569.06 and 1,106.47 is: 1,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.74 : 1,569.06 = 1,106.47 : x
  2. Step 2: Convert to fraction form
    1,133.74/1,569.06 = 1,106.47/x
  3. Step 3: Cross multiply
    1,133.74x = 1,569.06 × 1,106.47
  4. Step 4: Simplify right side
    1,133.74x = 1,736,104.44
  5. Step 5: Solve for x
    x = 1,736,104.44/1,133.74
  6. Step 6: Final answer
    x = 1,531.31

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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.