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Finding the Fourth Proportional to 1,412.55, 2,119.02 and 534.81

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Solution

The fourth proportional to 1,412.55, 2,119.02 and 534.81 is: 802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.55 : 2,119.02 = 534.81 : x
  2. Step 2: Convert to fraction form
    1,412.55/2,119.02 = 534.81/x
  3. Step 3: Cross multiply
    1,412.55x = 2,119.02 × 534.81
  4. Step 4: Simplify right side
    1,412.55x = 1,133,273.09
  5. Step 5: Solve for x
    x = 1,133,273.09/1,412.55
  6. Step 6: Final answer
    x = 802.29

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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.