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Finding the Fourth Proportional to 1,068.36, 1,602.62 and 410.55

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Solution

The fourth proportional to 1,068.36, 1,602.62 and 410.55 is: 615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.36 : 1,602.62 = 410.55 : x
  2. Step 2: Convert to fraction form
    1,068.36/1,602.62 = 410.55/x
  3. Step 3: Cross multiply
    1,068.36x = 1,602.62 × 410.55
  4. Step 4: Simplify right side
    1,068.36x = 657,955.64
  5. Step 5: Solve for x
    x = 657,955.64/1,068.36
  6. Step 6: Final answer
    x = 615.86

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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.