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Finding the Fourth Proportional to 1,071.35, 1,477.95 and 673.50

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Solution

The fourth proportional to 1,071.35, 1,477.95 and 673.50 is: 929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.35 : 1,477.95 = 673.50 : x
  2. Step 2: Convert to fraction form
    1,071.35/1,477.95 = 673.50/x
  3. Step 3: Cross multiply
    1,071.35x = 1,477.95 × 673.50
  4. Step 4: Simplify right side
    1,071.35x = 995,399.33
  5. Step 5: Solve for x
    x = 995,399.33/1,071.35
  6. Step 6: Final answer
    x = 929.11

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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.