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Finding the Fourth Proportional to 1,133.33, 1,700.19 and 353.28

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Solution

The fourth proportional to 1,133.33, 1,700.19 and 353.28 is: 529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.33 : 1,700.19 = 353.28 : x
  2. Step 2: Convert to fraction form
    1,133.33/1,700.19 = 353.28/x
  3. Step 3: Cross multiply
    1,133.33x = 1,700.19 × 353.28
  4. Step 4: Simplify right side
    1,133.33x = 600,638.07
  5. Step 5: Solve for x
    x = 600,638.07/1,133.33
  6. Step 6: Final answer
    x = 529.98

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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.