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Finding the Fourth Proportional to 1,385.08, 2,077.40 and 460.56

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Solution

The fourth proportional to 1,385.08, 2,077.40 and 460.56 is: 690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.08 : 2,077.40 = 460.56 : x
  2. Step 2: Convert to fraction form
    1,385.08/2,077.40 = 460.56/x
  3. Step 3: Cross multiply
    1,385.08x = 2,077.40 × 460.56
  4. Step 4: Simplify right side
    1,385.08x = 956,767.34
  5. Step 5: Solve for x
    x = 956,767.34/1,385.08
  6. Step 6: Final answer
    x = 690.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.