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Finding the Fourth Proportional to 1,132.13, 1,698.20 and 362.63

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Solution

The fourth proportional to 1,132.13, 1,698.20 and 362.63 is: 543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.13 : 1,698.20 = 362.63 : x
  2. Step 2: Convert to fraction form
    1,132.13/1,698.20 = 362.63/x
  3. Step 3: Cross multiply
    1,132.13x = 1,698.20 × 362.63
  4. Step 4: Simplify right side
    1,132.13x = 615,807.96
  5. Step 5: Solve for x
    x = 615,807.96/1,132.13
  6. Step 6: Final answer
    x = 543.94

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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.