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Finding the Fourth Proportional to 1,316.11, 1,973.50 and 438.30

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Solution

The fourth proportional to 1,316.11, 1,973.50 and 438.30 is: 657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.11 : 1,973.50 = 438.30 : x
  2. Step 2: Convert to fraction form
    1,316.11/1,973.50 = 438.30/x
  3. Step 3: Cross multiply
    1,316.11x = 1,973.50 × 438.30
  4. Step 4: Simplify right side
    1,316.11x = 864,990.12
  5. Step 5: Solve for x
    x = 864,990.12/1,316.11
  6. Step 6: Final answer
    x = 657.23

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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.