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Finding the Fourth Proportional to 1,582.48, 2,370.30 and 715.96

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Solution

The fourth proportional to 1,582.48, 2,370.30 and 715.96 is: 1,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.48 : 2,370.30 = 715.96 : x
  2. Step 2: Convert to fraction form
    1,582.48/2,370.30 = 715.96/x
  3. Step 3: Cross multiply
    1,582.48x = 2,370.30 × 715.96
  4. Step 4: Simplify right side
    1,582.48x = 1,697,039.99
  5. Step 5: Solve for x
    x = 1,697,039.99/1,582.48
  6. Step 6: Final answer
    x = 1,072.39

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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.