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Finding the Fourth Proportional to 1,390.96, 2,085.33 and 697.25

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Solution

The fourth proportional to 1,390.96, 2,085.33 and 697.25 is: 1,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.96 : 2,085.33 = 697.25 : x
  2. Step 2: Convert to fraction form
    1,390.96/2,085.33 = 697.25/x
  3. Step 3: Cross multiply
    1,390.96x = 2,085.33 × 697.25
  4. Step 4: Simplify right side
    1,390.96x = 1,454,004.17
  5. Step 5: Solve for x
    x = 1,454,004.17/1,390.96
  6. Step 6: Final answer
    x = 1,045.32

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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.