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Finding the Fourth Proportional to 1,409.41, 2,113.75 and 434.98

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Solution

The fourth proportional to 1,409.41, 2,113.75 and 434.98 is: 652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.41 : 2,113.75 = 434.98 : x
  2. Step 2: Convert to fraction form
    1,409.41/2,113.75 = 434.98/x
  3. Step 3: Cross multiply
    1,409.41x = 2,113.75 × 434.98
  4. Step 4: Simplify right side
    1,409.41x = 919,438.98
  5. Step 5: Solve for x
    x = 919,438.98/1,409.41
  6. Step 6: Final answer
    x = 652.36

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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.