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Finding the Fourth Proportional to 1,348.79, 2,024.00 and 568.75

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Solution

The fourth proportional to 1,348.79, 2,024.00 and 568.75 is: 853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.79 : 2,024.00 = 568.75 : x
  2. Step 2: Convert to fraction form
    1,348.79/2,024.00 = 568.75/x
  3. Step 3: Cross multiply
    1,348.79x = 2,024.00 × 568.75
  4. Step 4: Simplify right side
    1,348.79x = 1,151,137.04
  5. Step 5: Solve for x
    x = 1,151,137.04/1,348.79
  6. Step 6: Final answer
    x = 853.46

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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.