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Finding the Fourth Proportional to 1,409.67, 2,114.51 and 435.65

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Solution

The fourth proportional to 1,409.67, 2,114.51 and 435.65 is: 653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.67 : 2,114.51 = 435.65 : x
  2. Step 2: Convert to fraction form
    1,409.67/2,114.51 = 435.65/x
  3. Step 3: Cross multiply
    1,409.67x = 2,114.51 × 435.65
  4. Step 4: Simplify right side
    1,409.67x = 921,173.53
  5. Step 5: Solve for x
    x = 921,173.53/1,409.67
  6. Step 6: Final answer
    x = 653.47

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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.