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Finding the Fourth Proportional to 1,409.96, 1,945.28 and 913.24

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Solution

The fourth proportional to 1,409.96, 1,945.28 and 913.24 is: 1,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.96 : 1,945.28 = 913.24 : x
  2. Step 2: Convert to fraction form
    1,409.96/1,945.28 = 913.24/x
  3. Step 3: Cross multiply
    1,409.96x = 1,945.28 × 913.24
  4. Step 4: Simplify right side
    1,409.96x = 1,776,493.21
  5. Step 5: Solve for x
    x = 1,776,493.21/1,409.96
  6. Step 6: Final answer
    x = 1,259.96

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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.