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Finding the Fourth Proportional to 1,390.95, 2,086.70 and 417.06

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Solution

The fourth proportional to 1,390.95, 2,086.70 and 417.06 is: 625.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.95 : 2,086.70 = 417.06 : x
  2. Step 2: Convert to fraction form
    1,390.95/2,086.70 = 417.06/x
  3. Step 3: Cross multiply
    1,390.95x = 2,086.70 × 417.06
  4. Step 4: Simplify right side
    1,390.95x = 870,277.02
  5. Step 5: Solve for x
    x = 870,277.02/1,390.95
  6. Step 6: Final answer
    x = 625.67

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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.