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Finding the Fourth Proportional to 964.58, 1,445.59 and 437.09

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Solution

The fourth proportional to 964.58, 1,445.59 and 437.09 is: 655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.58 : 1,445.59 = 437.09 : x
  2. Step 2: Convert to fraction form
    964.58/1,445.59 = 437.09/x
  3. Step 3: Cross multiply
    964.58x = 1,445.59 × 437.09
  4. Step 4: Simplify right side
    964.58x = 631,846.25
  5. Step 5: Solve for x
    x = 631,846.25/964.58
  6. Step 6: Final answer
    x = 655.05

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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.