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Finding the Fourth Proportional to 1,071.70, 1,477.24 and 874.87

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Solution

The fourth proportional to 1,071.70, 1,477.24 and 874.87 is: 1,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.70 : 1,477.24 = 874.87 : x
  2. Step 2: Convert to fraction form
    1,071.70/1,477.24 = 874.87/x
  3. Step 3: Cross multiply
    1,071.70x = 1,477.24 × 874.87
  4. Step 4: Simplify right side
    1,071.70x = 1,292,392.96
  5. Step 5: Solve for x
    x = 1,292,392.96/1,071.70
  6. Step 6: Final answer
    x = 1,205.93

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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.