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Finding the Fourth Proportional to 1,384.67, 2,077.04 and 460.29

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Solution

The fourth proportional to 1,384.67, 2,077.04 and 460.29 is: 690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.67 : 2,077.04 = 460.29 : x
  2. Step 2: Convert to fraction form
    1,384.67/2,077.04 = 460.29/x
  3. Step 3: Cross multiply
    1,384.67x = 2,077.04 × 460.29
  4. Step 4: Simplify right side
    1,384.67x = 956,040.74
  5. Step 5: Solve for x
    x = 956,040.74/1,384.67
  6. Step 6: Final answer
    x = 690.45

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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.