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Finding the Fourth Proportional to 1,051.85, 1,578.02 and 870.01

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Solution

The fourth proportional to 1,051.85, 1,578.02 and 870.01 is: 1,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.85 : 1,578.02 = 870.01 : x
  2. Step 2: Convert to fraction form
    1,051.85/1,578.02 = 870.01/x
  3. Step 3: Cross multiply
    1,051.85x = 1,578.02 × 870.01
  4. Step 4: Simplify right side
    1,051.85x = 1,372,884.89
  5. Step 5: Solve for x
    x = 1,372,884.89/1,051.85
  6. Step 6: Final answer
    x = 1,305.21

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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.