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Finding the Fourth Proportional to 1,071.37, 1,605.74 and 632.18

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Solution

The fourth proportional to 1,071.37, 1,605.74 and 632.18 is: 947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.37 : 1,605.74 = 632.18 : x
  2. Step 2: Convert to fraction form
    1,071.37/1,605.74 = 632.18/x
  3. Step 3: Cross multiply
    1,071.37x = 1,605.74 × 632.18
  4. Step 4: Simplify right side
    1,071.37x = 1,015,113.94
  5. Step 5: Solve for x
    x = 1,015,113.94/1,071.37
  6. Step 6: Final answer
    x = 947.49

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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.