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Finding the Fourth Proportional to 700.63, 1,036.28 and 700.63

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Solution

The fourth proportional to 700.63, 1,036.28 and 700.63 is: 1,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.63 : 1,036.28 = 700.63 : x
  2. Step 2: Convert to fraction form
    700.63/1,036.28 = 700.63/x
  3. Step 3: Cross multiply
    700.63x = 1,036.28 × 700.63
  4. Step 4: Simplify right side
    700.63x = 726,048.86
  5. Step 5: Solve for x
    x = 726,048.86/700.63
  6. Step 6: Final answer
    x = 1,036.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.