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Finding the Fourth Proportional to 1,588.66, 2,382.95 and 434.41

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Solution

The fourth proportional to 1,588.66, 2,382.95 and 434.41 is: 651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.66 : 2,382.95 = 434.41 : x
  2. Step 2: Convert to fraction form
    1,588.66/2,382.95 = 434.41/x
  3. Step 3: Cross multiply
    1,588.66x = 2,382.95 × 434.41
  4. Step 4: Simplify right side
    1,588.66x = 1,035,172.44
  5. Step 5: Solve for x
    x = 1,035,172.44/1,588.66
  6. Step 6: Final answer
    x = 651.60

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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.