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Finding the Fourth Proportional to 1,555.84, 2,333.58 and 401.68

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Solution

The fourth proportional to 1,555.84, 2,333.58 and 401.68 is: 602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.84 : 2,333.58 = 401.68 : x
  2. Step 2: Convert to fraction form
    1,555.84/2,333.58 = 401.68/x
  3. Step 3: Cross multiply
    1,555.84x = 2,333.58 × 401.68
  4. Step 4: Simplify right side
    1,555.84x = 937,352.41
  5. Step 5: Solve for x
    x = 937,352.41/1,555.84
  6. Step 6: Final answer
    x = 602.47

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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.