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Finding the Fourth Proportional to 995.83, 1,490.98 and 599.34

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Solution

The fourth proportional to 995.83, 1,490.98 and 599.34 is: 897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.83 : 1,490.98 = 599.34 : x
  2. Step 2: Convert to fraction form
    995.83/1,490.98 = 599.34/x
  3. Step 3: Cross multiply
    995.83x = 1,490.98 × 599.34
  4. Step 4: Simplify right side
    995.83x = 893,595.00
  5. Step 5: Solve for x
    x = 893,595.00/995.83
  6. Step 6: Final answer
    x = 897.34

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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.