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Finding the Fourth Proportional to 1,270.37, 1,905.46 and 437.35

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Solution

The fourth proportional to 1,270.37, 1,905.46 and 437.35 is: 655.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.37 : 1,905.46 = 437.35 : x
  2. Step 2: Convert to fraction form
    1,270.37/1,905.46 = 437.35/x
  3. Step 3: Cross multiply
    1,270.37x = 1,905.46 × 437.35
  4. Step 4: Simplify right side
    1,270.37x = 833,347.07
  5. Step 5: Solve for x
    x = 833,347.07/1,270.37
  6. Step 6: Final answer
    x = 655.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.