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Finding the Fourth Proportional to 1,409.76, 2,114.96 and 435.84

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Solution

The fourth proportional to 1,409.76, 2,114.96 and 435.84 is: 653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.76 : 2,114.96 = 435.84 : x
  2. Step 2: Convert to fraction form
    1,409.76/2,114.96 = 435.84/x
  3. Step 3: Cross multiply
    1,409.76x = 2,114.96 × 435.84
  4. Step 4: Simplify right side
    1,409.76x = 921,784.17
  5. Step 5: Solve for x
    x = 921,784.17/1,409.76
  6. Step 6: Final answer
    x = 653.86

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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.