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Finding the Fourth Proportional to 973.02, 1,457.90 and 683.94

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Solution

The fourth proportional to 973.02, 1,457.90 and 683.94 is: 1,024.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.02 : 1,457.90 = 683.94 : x
  2. Step 2: Convert to fraction form
    973.02/1,457.90 = 683.94/x
  3. Step 3: Cross multiply
    973.02x = 1,457.90 × 683.94
  4. Step 4: Simplify right side
    973.02x = 997,112.71
  5. Step 5: Solve for x
    x = 997,112.71/973.02
  6. Step 6: Final answer
    x = 1,024.76

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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.