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Finding the Fourth Proportional to 1,156.46, 1,735.63 and 608.98

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Solution

The fourth proportional to 1,156.46, 1,735.63 and 608.98 is: 913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.46 : 1,735.63 = 608.98 : x
  2. Step 2: Convert to fraction form
    1,156.46/1,735.63 = 608.98/x
  3. Step 3: Cross multiply
    1,156.46x = 1,735.63 × 608.98
  4. Step 4: Simplify right side
    1,156.46x = 1,056,963.96
  5. Step 5: Solve for x
    x = 1,056,963.96/1,156.46
  6. Step 6: Final answer
    x = 913.96

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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.