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Finding the Fourth Proportional to 1,158.53, 1,738.49 and 465.10

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Solution

The fourth proportional to 1,158.53, 1,738.49 and 465.10 is: 697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.53 : 1,738.49 = 465.10 : x
  2. Step 2: Convert to fraction form
    1,158.53/1,738.49 = 465.10/x
  3. Step 3: Cross multiply
    1,158.53x = 1,738.49 × 465.10
  4. Step 4: Simplify right side
    1,158.53x = 808,571.70
  5. Step 5: Solve for x
    x = 808,571.70/1,158.53
  6. Step 6: Final answer
    x = 697.93

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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.