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Finding the Fourth Proportional to 1,316.64, 1,968 and 1,151.04

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Solution

The fourth proportional to 1,316.64, 1,968 and 1,151.04 is: 1,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.64 : 1,968 = 1,151.04 : x
  2. Step 2: Convert to fraction form
    1,316.64/1,968 = 1,151.04/x
  3. Step 3: Cross multiply
    1,316.64x = 1,968 × 1,151.04
  4. Step 4: Simplify right side
    1,316.64x = 2,265,246.72
  5. Step 5: Solve for x
    x = 2,265,246.72/1,316.64
  6. Step 6: Final answer
    x = 1,720.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.