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Finding the Fourth Proportional to 1,156.10, 1,735.16 and 608.67

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Solution

The fourth proportional to 1,156.10, 1,735.16 and 608.67 is: 913.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.10 : 1,735.16 = 608.67 : x
  2. Step 2: Convert to fraction form
    1,156.10/1,735.16 = 608.67/x
  3. Step 3: Cross multiply
    1,156.10x = 1,735.16 × 608.67
  4. Step 4: Simplify right side
    1,156.10x = 1,056,136.79
  5. Step 5: Solve for x
    x = 1,056,136.79/1,156.10
  6. Step 6: Final answer
    x = 913.54

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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.