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Finding the Fourth Proportional to 1,388.63, 1,916.30 and 767.63

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Solution

The fourth proportional to 1,388.63, 1,916.30 and 767.63 is: 1,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.63 : 1,916.30 = 767.63 : x
  2. Step 2: Convert to fraction form
    1,388.63/1,916.30 = 767.63/x
  3. Step 3: Cross multiply
    1,388.63x = 1,916.30 × 767.63
  4. Step 4: Simplify right side
    1,388.63x = 1,471,009.37
  5. Step 5: Solve for x
    x = 1,471,009.37/1,388.63
  6. Step 6: Final answer
    x = 1,059.32

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1.5x scale

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.