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Finding the Fourth Proportional to 1,395.46, 1,925.81 and 774.46

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Solution

The fourth proportional to 1,395.46, 1,925.81 and 774.46 is: 1,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.46 : 1,925.81 = 774.46 : x
  2. Step 2: Convert to fraction form
    1,395.46/1,925.81 = 774.46/x
  3. Step 3: Cross multiply
    1,395.46x = 1,925.81 × 774.46
  4. Step 4: Simplify right side
    1,395.46x = 1,491,462.81
  5. Step 5: Solve for x
    x = 1,491,462.81/1,395.46
  6. Step 6: Final answer
    x = 1,068.80

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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.