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Finding the Fourth Proportional to 1,223.65, 1,688.88 and 804.07

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Solution

The fourth proportional to 1,223.65, 1,688.88 and 804.07 is: 1,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.65 : 1,688.88 = 804.07 : x
  2. Step 2: Convert to fraction form
    1,223.65/1,688.88 = 804.07/x
  3. Step 3: Cross multiply
    1,223.65x = 1,688.88 × 804.07
  4. Step 4: Simplify right side
    1,223.65x = 1,357,977.74
  5. Step 5: Solve for x
    x = 1,357,977.74/1,223.65
  6. Step 6: Final answer
    x = 1,109.78

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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.