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Finding the Fourth Proportional to 1,133.78, 1,699.46 and 403.12

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Solution

The fourth proportional to 1,133.78, 1,699.46 and 403.12 is: 604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.78 : 1,699.46 = 403.12 : x
  2. Step 2: Convert to fraction form
    1,133.78/1,699.46 = 403.12/x
  3. Step 3: Cross multiply
    1,133.78x = 1,699.46 × 403.12
  4. Step 4: Simplify right side
    1,133.78x = 685,075.80
  5. Step 5: Solve for x
    x = 685,075.80/1,133.78
  6. Step 6: Final answer
    x = 604.24

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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.