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Finding the Fourth Proportional to 1,412.84, 2,119.32 and 535.25

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Solution

The fourth proportional to 1,412.84, 2,119.32 and 535.25 is: 802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.84 : 2,119.32 = 535.25 : x
  2. Step 2: Convert to fraction form
    1,412.84/2,119.32 = 535.25/x
  3. Step 3: Cross multiply
    1,412.84x = 2,119.32 × 535.25
  4. Step 4: Simplify right side
    1,412.84x = 1,134,355.43
  5. Step 5: Solve for x
    x = 1,134,355.43/1,412.84
  6. Step 6: Final answer
    x = 802.89

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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.