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Finding the Fourth Proportional to 1,164.68, 1,743.93 and 615.19

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Solution

The fourth proportional to 1,164.68, 1,743.93 and 615.19 is: 921.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.68 : 1,743.93 = 615.19 : x
  2. Step 2: Convert to fraction form
    1,164.68/1,743.93 = 615.19/x
  3. Step 3: Cross multiply
    1,164.68x = 1,743.93 × 615.19
  4. Step 4: Simplify right side
    1,164.68x = 1,072,848.30
  5. Step 5: Solve for x
    x = 1,072,848.30/1,164.68
  6. Step 6: Final answer
    x = 921.15

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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.