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Finding the Fourth Proportional to 1,157.10, 1,735.78 and 463.74

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Solution

The fourth proportional to 1,157.10, 1,735.78 and 463.74 is: 695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.10 : 1,735.78 = 463.74 : x
  2. Step 2: Convert to fraction form
    1,157.10/1,735.78 = 463.74/x
  3. Step 3: Cross multiply
    1,157.10x = 1,735.78 × 463.74
  4. Step 4: Simplify right side
    1,157.10x = 804,950.62
  5. Step 5: Solve for x
    x = 804,950.62/1,157.10
  6. Step 6: Final answer
    x = 695.66

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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.