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Finding the Fourth Proportional to 1,148.63, 1,583.27 and 775.49

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Solution

The fourth proportional to 1,148.63, 1,583.27 and 775.49 is: 1,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.63 : 1,583.27 = 775.49 : x
  2. Step 2: Convert to fraction form
    1,148.63/1,583.27 = 775.49/x
  3. Step 3: Cross multiply
    1,148.63x = 1,583.27 × 775.49
  4. Step 4: Simplify right side
    1,148.63x = 1,227,813.04
  5. Step 5: Solve for x
    x = 1,227,813.04/1,148.63
  6. Step 6: Final answer
    x = 1,068.93

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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.