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Finding the Fourth Proportional to 1,134.10, 1,698.63 and 646.84

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Solution

The fourth proportional to 1,134.10, 1,698.63 and 646.84 is: 968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.10 : 1,698.63 = 646.84 : x
  2. Step 2: Convert to fraction form
    1,134.10/1,698.63 = 646.84/x
  3. Step 3: Cross multiply
    1,134.10x = 1,698.63 × 646.84
  4. Step 4: Simplify right side
    1,134.10x = 1,098,741.83
  5. Step 5: Solve for x
    x = 1,098,741.83/1,134.10
  6. Step 6: Final answer
    x = 968.82

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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.