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Finding the Fourth Proportional to 899.29, 1,348.93 and 283.00

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Solution

The fourth proportional to 899.29, 1,348.93 and 283.00 is: 424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.29 : 1,348.93 = 283.00 : x
  2. Step 2: Convert to fraction form
    899.29/1,348.93 = 283.00/x
  3. Step 3: Cross multiply
    899.29x = 1,348.93 × 283.00
  4. Step 4: Simplify right side
    899.29x = 381,748.64
  5. Step 5: Solve for x
    x = 381,748.64/899.29
  6. Step 6: Final answer
    x = 424.50

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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.