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Finding the Fourth Proportional to 1,095.98, 1,643.79 and 402.98

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Solution

The fourth proportional to 1,095.98, 1,643.79 and 402.98 is: 604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.98 : 1,643.79 = 402.98 : x
  2. Step 2: Convert to fraction form
    1,095.98/1,643.79 = 402.98/x
  3. Step 3: Cross multiply
    1,095.98x = 1,643.79 × 402.98
  4. Step 4: Simplify right side
    1,095.98x = 662,407.79
  5. Step 5: Solve for x
    x = 662,407.79/1,095.98
  6. Step 6: Final answer
    x = 604.40

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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.