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Finding the Fourth Proportional to 1,158.64, 1,736.73 and 465.01

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Solution

The fourth proportional to 1,158.64, 1,736.73 and 465.01 is: 697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.64 : 1,736.73 = 465.01 : x
  2. Step 2: Convert to fraction form
    1,158.64/1,736.73 = 465.01/x
  3. Step 3: Cross multiply
    1,158.64x = 1,736.73 × 465.01
  4. Step 4: Simplify right side
    1,158.64x = 807,596.82
  5. Step 5: Solve for x
    x = 807,596.82/1,158.64
  6. Step 6: Final answer
    x = 697.02

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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.