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Finding the Fourth Proportional to 1,415.76, 2,123.52 and 646.20

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Solution

The fourth proportional to 1,415.76, 2,123.52 and 646.20 is: 969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.76 : 2,123.52 = 646.20 : x
  2. Step 2: Convert to fraction form
    1,415.76/2,123.52 = 646.20/x
  3. Step 3: Cross multiply
    1,415.76x = 2,123.52 × 646.20
  4. Step 4: Simplify right side
    1,415.76x = 1,372,218.62
  5. Step 5: Solve for x
    x = 1,372,218.62/1,415.76
  6. Step 6: Final answer
    x = 969.25

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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.