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Finding the Fourth Proportional to 1,270.32, 1,904.94 and 437.47

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Solution

The fourth proportional to 1,270.32, 1,904.94 and 437.47 is: 656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.32 : 1,904.94 = 437.47 : x
  2. Step 2: Convert to fraction form
    1,270.32/1,904.94 = 437.47/x
  3. Step 3: Cross multiply
    1,270.32x = 1,904.94 × 437.47
  4. Step 4: Simplify right side
    1,270.32x = 833,354.10
  5. Step 5: Solve for x
    x = 833,354.10/1,270.32
  6. Step 6: Final answer
    x = 656.02

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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.