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Finding the Fourth Proportional to 1,024.02, 1,413 and 581.85

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Solution

The fourth proportional to 1,024.02, 1,413 and 581.85 is: 802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.02 : 1,413 = 581.85 : x
  2. Step 2: Convert to fraction form
    1,024.02/1,413 = 581.85/x
  3. Step 3: Cross multiply
    1,024.02x = 1,413 × 581.85
  4. Step 4: Simplify right side
    1,024.02x = 822,154.05
  5. Step 5: Solve for x
    x = 822,154.05/1,024.02
  6. Step 6: Final answer
    x = 802.87

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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.