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Finding the Fourth Proportional to 1,019, 1,406.54 and 651

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Solution

The fourth proportional to 1,019, 1,406.54 and 651 is: 898.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019 : 1,406.54 = 651 : x
  2. Step 2: Convert to fraction form
    1,019/1,406.54 = 651/x
  3. Step 3: Cross multiply
    1,019x = 1,406.54 × 651
  4. Step 4: Simplify right side
    1,019x = 915,657.54
  5. Step 5: Solve for x
    x = 915,657.54/1,019
  6. Step 6: Final answer
    x = 898.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.