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Finding the Fourth Proportional to 1,132.81, 1,699.50 and 402.46

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Solution

The fourth proportional to 1,132.81, 1,699.50 and 402.46 is: 603.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.81 : 1,699.50 = 402.46 : x
  2. Step 2: Convert to fraction form
    1,132.81/1,699.50 = 402.46/x
  3. Step 3: Cross multiply
    1,132.81x = 1,699.50 × 402.46
  4. Step 4: Simplify right side
    1,132.81x = 683,980.77
  5. Step 5: Solve for x
    x = 683,980.77/1,132.81
  6. Step 6: Final answer
    x = 603.79

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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.