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Finding the Fourth Proportional to 1,424.58, 1,965.70 and 864.94

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Solution

The fourth proportional to 1,424.58, 1,965.70 and 864.94 is: 1,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.58 : 1,965.70 = 864.94 : x
  2. Step 2: Convert to fraction form
    1,424.58/1,965.70 = 864.94/x
  3. Step 3: Cross multiply
    1,424.58x = 1,965.70 × 864.94
  4. Step 4: Simplify right side
    1,424.58x = 1,700,210.40
  5. Step 5: Solve for x
    x = 1,700,210.40/1,424.58
  6. Step 6: Final answer
    x = 1,193.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.