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Finding the Fourth Proportional to 1,106.74, 1,528.85 and 1,048.42

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Solution

The fourth proportional to 1,106.74, 1,528.85 and 1,048.42 is: 1,448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.74 : 1,528.85 = 1,048.42 : x
  2. Step 2: Convert to fraction form
    1,106.74/1,528.85 = 1,048.42/x
  3. Step 3: Cross multiply
    1,106.74x = 1,528.85 × 1,048.42
  4. Step 4: Simplify right side
    1,106.74x = 1,602,875.72
  5. Step 5: Solve for x
    x = 1,602,875.72/1,106.74
  6. Step 6: Final answer
    x = 1,448.29

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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.