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Finding the Fourth Proportional to 1,068.59, 1,603.06 and 410.44

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Solution

The fourth proportional to 1,068.59, 1,603.06 and 410.44 is: 615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.59 : 1,603.06 = 410.44 : x
  2. Step 2: Convert to fraction form
    1,068.59/1,603.06 = 410.44/x
  3. Step 3: Cross multiply
    1,068.59x = 1,603.06 × 410.44
  4. Step 4: Simplify right side
    1,068.59x = 657,962.93
  5. Step 5: Solve for x
    x = 657,962.93/1,068.59
  6. Step 6: Final answer
    x = 615.73

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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.