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Finding the Fourth Proportional to 1,157.64, 1,735.72 and 416.82

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Solution

The fourth proportional to 1,157.64, 1,735.72 and 416.82 is: 624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.64 : 1,735.72 = 416.82 : x
  2. Step 2: Convert to fraction form
    1,157.64/1,735.72 = 416.82/x
  3. Step 3: Cross multiply
    1,157.64x = 1,735.72 × 416.82
  4. Step 4: Simplify right side
    1,157.64x = 723,482.81
  5. Step 5: Solve for x
    x = 723,482.81/1,157.64
  6. Step 6: Final answer
    x = 624.96

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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.