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Finding the Fourth Proportional to 1,407.96, 2,110.68 and 678.24

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Solution

The fourth proportional to 1,407.96, 2,110.68 and 678.24 is: 1,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.96 : 2,110.68 = 678.24 : x
  2. Step 2: Convert to fraction form
    1,407.96/2,110.68 = 678.24/x
  3. Step 3: Cross multiply
    1,407.96x = 2,110.68 × 678.24
  4. Step 4: Simplify right side
    1,407.96x = 1,431,547.60
  5. Step 5: Solve for x
    x = 1,431,547.60/1,407.96
  6. Step 6: Final answer
    x = 1,016.75

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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.