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Finding the Fourth Proportional to 1,132.64, 1,698.62 and 402.05

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Solution

The fourth proportional to 1,132.64, 1,698.62 and 402.05 is: 602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.64 : 1,698.62 = 402.05 : x
  2. Step 2: Convert to fraction form
    1,132.64/1,698.62 = 402.05/x
  3. Step 3: Cross multiply
    1,132.64x = 1,698.62 × 402.05
  4. Step 4: Simplify right side
    1,132.64x = 682,925.11
  5. Step 5: Solve for x
    x = 682,925.11/1,132.64
  6. Step 6: Final answer
    x = 602.95

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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.