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Finding the Fourth Proportional to 1,454, 2,006.56 and 824.62

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Solution

The fourth proportional to 1,454, 2,006.56 and 824.62 is: 1,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454 : 2,006.56 = 824.62 : x
  2. Step 2: Convert to fraction form
    1,454/2,006.56 = 824.62/x
  3. Step 3: Cross multiply
    1,454x = 2,006.56 × 824.62
  4. Step 4: Simplify right side
    1,454x = 1,654,649.51
  5. Step 5: Solve for x
    x = 1,654,649.51/1,454
  6. Step 6: Final answer
    x = 1,138.00

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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.