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Finding the Fourth Proportional to 1,148.02, 1,583.22 and 749.32

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Solution

The fourth proportional to 1,148.02, 1,583.22 and 749.32 is: 1,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.02 : 1,583.22 = 749.32 : x
  2. Step 2: Convert to fraction form
    1,148.02/1,583.22 = 749.32/x
  3. Step 3: Cross multiply
    1,148.02x = 1,583.22 × 749.32
  4. Step 4: Simplify right side
    1,148.02x = 1,186,338.41
  5. Step 5: Solve for x
    x = 1,186,338.41/1,148.02
  6. Step 6: Final answer
    x = 1,033.38

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Why These Related Problems?

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