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Finding the Fourth Proportional to 1,217.76, 1,823.04 and 973.68

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Solution

The fourth proportional to 1,217.76, 1,823.04 and 973.68 is: 1,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.76 : 1,823.04 = 973.68 : x
  2. Step 2: Convert to fraction form
    1,217.76/1,823.04 = 973.68/x
  3. Step 3: Cross multiply
    1,217.76x = 1,823.04 × 973.68
  4. Step 4: Simplify right side
    1,217.76x = 1,775,057.59
  5. Step 5: Solve for x
    x = 1,775,057.59/1,217.76
  6. Step 6: Final answer
    x = 1,457.64

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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.