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Finding the Fourth Proportional to 1,148.86, 1,722.54 and 455.62

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Solution

The fourth proportional to 1,148.86, 1,722.54 and 455.62 is: 683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.86 : 1,722.54 = 455.62 : x
  2. Step 2: Convert to fraction form
    1,148.86/1,722.54 = 455.62/x
  3. Step 3: Cross multiply
    1,148.86x = 1,722.54 × 455.62
  4. Step 4: Simplify right side
    1,148.86x = 784,823.67
  5. Step 5: Solve for x
    x = 784,823.67/1,148.86
  6. Step 6: Final answer
    x = 683.13

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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.