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Finding the Fourth Proportional to 1,133.65, 1,563.46 and 946.63

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Solution

The fourth proportional to 1,133.65, 1,563.46 and 946.63 is: 1,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.65 : 1,563.46 = 946.63 : x
  2. Step 2: Convert to fraction form
    1,133.65/1,563.46 = 946.63/x
  3. Step 3: Cross multiply
    1,133.65x = 1,563.46 × 946.63
  4. Step 4: Simplify right side
    1,133.65x = 1,480,018.14
  5. Step 5: Solve for x
    x = 1,480,018.14/1,133.65
  6. Step 6: Final answer
    x = 1,305.53

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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.