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Finding the Fourth Proportional to 1,544.32, 2,316.84 and 504.36

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Solution

The fourth proportional to 1,544.32, 2,316.84 and 504.36 is: 756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.32 : 2,316.84 = 504.36 : x
  2. Step 2: Convert to fraction form
    1,544.32/2,316.84 = 504.36/x
  3. Step 3: Cross multiply
    1,544.32x = 2,316.84 × 504.36
  4. Step 4: Simplify right side
    1,544.32x = 1,168,521.42
  5. Step 5: Solve for x
    x = 1,168,521.42/1,544.32
  6. Step 6: Final answer
    x = 756.66

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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.