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Finding the Fourth Proportional to 1,051.72, 1,578.65 and 589.88

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Solution

The fourth proportional to 1,051.72, 1,578.65 and 589.88 is: 885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.72 : 1,578.65 = 589.88 : x
  2. Step 2: Convert to fraction form
    1,051.72/1,578.65 = 589.88/x
  3. Step 3: Cross multiply
    1,051.72x = 1,578.65 × 589.88
  4. Step 4: Simplify right side
    1,051.72x = 931,214.06
  5. Step 5: Solve for x
    x = 931,214.06/1,051.72
  6. Step 6: Final answer
    x = 885.42

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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.