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Finding the Fourth Proportional to 1,507.60, 2,261.32 and 412

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Solution

The fourth proportional to 1,507.60, 2,261.32 and 412 is: 617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.60 : 2,261.32 = 412 : x
  2. Step 2: Convert to fraction form
    1,507.60/2,261.32 = 412/x
  3. Step 3: Cross multiply
    1,507.60x = 2,261.32 × 412
  4. Step 4: Simplify right side
    1,507.60x = 931,663.84
  5. Step 5: Solve for x
    x = 931,663.84/1,507.60
  6. Step 6: Final answer
    x = 617.98

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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.