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Finding the Fourth Proportional to 1,036.56, 1,430.78 and 664.53

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Solution

The fourth proportional to 1,036.56, 1,430.78 and 664.53 is: 917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.56 : 1,430.78 = 664.53 : x
  2. Step 2: Convert to fraction form
    1,036.56/1,430.78 = 664.53/x
  3. Step 3: Cross multiply
    1,036.56x = 1,430.78 × 664.53
  4. Step 4: Simplify right side
    1,036.56x = 950,796.23
  5. Step 5: Solve for x
    x = 950,796.23/1,036.56
  6. Step 6: Final answer
    x = 917.26

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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.