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Finding the Fourth Proportional to 1,544.64, 2,316.96 and 678.96

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Solution

The fourth proportional to 1,544.64, 2,316.96 and 678.96 is: 1,018.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.64 : 2,316.96 = 678.96 : x
  2. Step 2: Convert to fraction form
    1,544.64/2,316.96 = 678.96/x
  3. Step 3: Cross multiply
    1,544.64x = 2,316.96 × 678.96
  4. Step 4: Simplify right side
    1,544.64x = 1,573,123.16
  5. Step 5: Solve for x
    x = 1,573,123.16/1,544.64
  6. Step 6: Final answer
    x = 1,018.44

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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.