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Finding the Fourth Proportional to 1,316.20, 1,973.64 and 438.40

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Solution

The fourth proportional to 1,316.20, 1,973.64 and 438.40 is: 657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.20 : 1,973.64 = 438.40 : x
  2. Step 2: Convert to fraction form
    1,316.20/1,973.64 = 438.40/x
  3. Step 3: Cross multiply
    1,316.20x = 1,973.64 × 438.40
  4. Step 4: Simplify right side
    1,316.20x = 865,236.79
  5. Step 5: Solve for x
    x = 865,236.79/1,316.20
  6. Step 6: Final answer
    x = 657.37

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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.