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Finding the Fourth Proportional to 1,316.40, 1,973.64 and 666.78

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Solution

The fourth proportional to 1,316.40, 1,973.64 and 666.78 is: 999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.40 : 1,973.64 = 666.78 : x
  2. Step 2: Convert to fraction form
    1,316.40/1,973.64 = 666.78/x
  3. Step 3: Cross multiply
    1,316.40x = 1,973.64 × 666.78
  4. Step 4: Simplify right side
    1,316.40x = 1,315,983.68
  5. Step 5: Solve for x
    x = 1,315,983.68/1,316.40
  6. Step 6: Final answer
    x = 999.68

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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.