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Finding the Fourth Proportional to 1,485.70, 2,228.65 and 390.06

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Solution

The fourth proportional to 1,485.70, 2,228.65 and 390.06 is: 585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.70 : 2,228.65 = 390.06 : x
  2. Step 2: Convert to fraction form
    1,485.70/2,228.65 = 390.06/x
  3. Step 3: Cross multiply
    1,485.70x = 2,228.65 × 390.06
  4. Step 4: Simplify right side
    1,485.70x = 869,306.24
  5. Step 5: Solve for x
    x = 869,306.24/1,485.70
  6. Step 6: Final answer
    x = 585.12

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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.