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Finding the Fourth Proportional to 1,378.16, 2,065.28 and 762.14

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Solution

The fourth proportional to 1,378.16, 2,065.28 and 762.14 is: 1,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.16 : 2,065.28 = 762.14 : x
  2. Step 2: Convert to fraction form
    1,378.16/2,065.28 = 762.14/x
  3. Step 3: Cross multiply
    1,378.16x = 2,065.28 × 762.14
  4. Step 4: Simplify right side
    1,378.16x = 1,574,032.50
  5. Step 5: Solve for x
    x = 1,574,032.50/1,378.16
  6. Step 6: Final answer
    x = 1,142.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.