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Finding the Fourth Proportional to 1,386.10, 2,077.53 and 654.67

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Solution

The fourth proportional to 1,386.10, 2,077.53 and 654.67 is: 981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.10 : 2,077.53 = 654.67 : x
  2. Step 2: Convert to fraction form
    1,386.10/2,077.53 = 654.67/x
  3. Step 3: Cross multiply
    1,386.10x = 2,077.53 × 654.67
  4. Step 4: Simplify right side
    1,386.10x = 1,360,096.57
  5. Step 5: Solve for x
    x = 1,360,096.57/1,386.10
  6. Step 6: Final answer
    x = 981.24

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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.