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Finding the Fourth Proportional to 1,132.63, 1,698.98 and 402.22

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Solution

The fourth proportional to 1,132.63, 1,698.98 and 402.22 is: 603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.63 : 1,698.98 = 402.22 : x
  2. Step 2: Convert to fraction form
    1,132.63/1,698.98 = 402.22/x
  3. Step 3: Cross multiply
    1,132.63x = 1,698.98 × 402.22
  4. Step 4: Simplify right side
    1,132.63x = 683,354.29
  5. Step 5: Solve for x
    x = 683,354.29/1,132.63
  6. Step 6: Final answer
    x = 603.33

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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.