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Finding the Fourth Proportional to 1,421.94, 1,962.63 and 862.50

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Solution

The fourth proportional to 1,421.94, 1,962.63 and 862.50 is: 1,190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.94 : 1,962.63 = 862.50 : x
  2. Step 2: Convert to fraction form
    1,421.94/1,962.63 = 862.50/x
  3. Step 3: Cross multiply
    1,421.94x = 1,962.63 × 862.50
  4. Step 4: Simplify right side
    1,421.94x = 1,692,768.38
  5. Step 5: Solve for x
    x = 1,692,768.38/1,421.94
  6. Step 6: Final answer
    x = 1,190.46

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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.