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Finding the Fourth Proportional to 1,223.13, 1,835.46 and 784.71

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Solution

The fourth proportional to 1,223.13, 1,835.46 and 784.71 is: 1,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.13 : 1,835.46 = 784.71 : x
  2. Step 2: Convert to fraction form
    1,223.13/1,835.46 = 784.71/x
  3. Step 3: Cross multiply
    1,223.13x = 1,835.46 × 784.71
  4. Step 4: Simplify right side
    1,223.13x = 1,440,303.82
  5. Step 5: Solve for x
    x = 1,440,303.82/1,223.13
  6. Step 6: Final answer
    x = 1,177.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.