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Finding the Fourth Proportional to 1,051.56, 1,572.64 and 936.84

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Solution

The fourth proportional to 1,051.56, 1,572.64 and 936.84 is: 1,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.56 : 1,572.64 = 936.84 : x
  2. Step 2: Convert to fraction form
    1,051.56/1,572.64 = 936.84/x
  3. Step 3: Cross multiply
    1,051.56x = 1,572.64 × 936.84
  4. Step 4: Simplify right side
    1,051.56x = 1,473,312.06
  5. Step 5: Solve for x
    x = 1,473,312.06/1,051.56
  6. Step 6: Final answer
    x = 1,401.07

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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.