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Finding the Fourth Proportional to 1,547.24, 2,321.03 and 506.94

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Solution

The fourth proportional to 1,547.24, 2,321.03 and 506.94 is: 760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.24 : 2,321.03 = 506.94 : x
  2. Step 2: Convert to fraction form
    1,547.24/2,321.03 = 506.94/x
  3. Step 3: Cross multiply
    1,547.24x = 2,321.03 × 506.94
  4. Step 4: Simplify right side
    1,547.24x = 1,176,620.41
  5. Step 5: Solve for x
    x = 1,176,620.41/1,547.24
  6. Step 6: Final answer
    x = 760.47

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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.