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Finding the Fourth Proportional to 1,385.06, 2,077.32 and 460.46

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Solution

The fourth proportional to 1,385.06, 2,077.32 and 460.46 is: 690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.06 : 2,077.32 = 460.46 : x
  2. Step 2: Convert to fraction form
    1,385.06/2,077.32 = 460.46/x
  3. Step 3: Cross multiply
    1,385.06x = 2,077.32 × 460.46
  4. Step 4: Simplify right side
    1,385.06x = 956,522.77
  5. Step 5: Solve for x
    x = 956,522.77/1,385.06
  6. Step 6: Final answer
    x = 690.60

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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.