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Finding the Fourth Proportional to 1,435.14, 2,153.22 and 655.32

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Solution

The fourth proportional to 1,435.14, 2,153.22 and 655.32 is: 983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.14 : 2,153.22 = 655.32 : x
  2. Step 2: Convert to fraction form
    1,435.14/2,153.22 = 655.32/x
  3. Step 3: Cross multiply
    1,435.14x = 2,153.22 × 655.32
  4. Step 4: Simplify right side
    1,435.14x = 1,411,048.13
  5. Step 5: Solve for x
    x = 1,411,048.13/1,435.14
  6. Step 6: Final answer
    x = 983.21

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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.