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Finding the Fourth Proportional to 1,548.58, 2,322.60 and 438.07

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Solution

The fourth proportional to 1,548.58, 2,322.60 and 438.07 is: 657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.58 : 2,322.60 = 438.07 : x
  2. Step 2: Convert to fraction form
    1,548.58/2,322.60 = 438.07/x
  3. Step 3: Cross multiply
    1,548.58x = 2,322.60 × 438.07
  4. Step 4: Simplify right side
    1,548.58x = 1,017,459.19
  5. Step 5: Solve for x
    x = 1,017,459.19/1,548.58
  6. Step 6: Final answer
    x = 657.03

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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.