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Finding the Fourth Proportional to 1,582.36, 2,372.91 and 657.29

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Solution

The fourth proportional to 1,582.36, 2,372.91 and 657.29 is: 985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.36 : 2,372.91 = 657.29 : x
  2. Step 2: Convert to fraction form
    1,582.36/2,372.91 = 657.29/x
  3. Step 3: Cross multiply
    1,582.36x = 2,372.91 × 657.29
  4. Step 4: Simplify right side
    1,582.36x = 1,559,690.01
  5. Step 5: Solve for x
    x = 1,559,690.01/1,582.36
  6. Step 6: Final answer
    x = 985.67

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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.