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Finding the Fourth Proportional to 1,223.84, 1,690.16 and 1,048.16

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Solution

The fourth proportional to 1,223.84, 1,690.16 and 1,048.16 is: 1,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.84 : 1,690.16 = 1,048.16 : x
  2. Step 2: Convert to fraction form
    1,223.84/1,690.16 = 1,048.16/x
  3. Step 3: Cross multiply
    1,223.84x = 1,690.16 × 1,048.16
  4. Step 4: Simplify right side
    1,223.84x = 1,771,558.11
  5. Step 5: Solve for x
    x = 1,771,558.11/1,223.84
  6. Step 6: Final answer
    x = 1,447.54

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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.