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Finding the Fourth Proportional to 995.08, 1,491.18 and 561.64

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Solution

The fourth proportional to 995.08, 1,491.18 and 561.64 is: 841.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.08 : 1,491.18 = 561.64 : x
  2. Step 2: Convert to fraction form
    995.08/1,491.18 = 561.64/x
  3. Step 3: Cross multiply
    995.08x = 1,491.18 × 561.64
  4. Step 4: Simplify right side
    995.08x = 837,506.34
  5. Step 5: Solve for x
    x = 837,506.34/995.08
  6. Step 6: Final answer
    x = 841.65

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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.