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Finding the Fourth Proportional to 1,316.94, 1,817.52 and 874.94

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Solution

The fourth proportional to 1,316.94, 1,817.52 and 874.94 is: 1,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.94 : 1,817.52 = 874.94 : x
  2. Step 2: Convert to fraction form
    1,316.94/1,817.52 = 874.94/x
  3. Step 3: Cross multiply
    1,316.94x = 1,817.52 × 874.94
  4. Step 4: Simplify right side
    1,316.94x = 1,590,220.95
  5. Step 5: Solve for x
    x = 1,590,220.95/1,316.94
  6. Step 6: Final answer
    x = 1,207.51

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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.