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Finding the Fourth Proportional to 973.53, 1,457.46 and 510.21

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Solution

The fourth proportional to 973.53, 1,457.46 and 510.21 is: 763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.53 : 1,457.46 = 510.21 : x
  2. Step 2: Convert to fraction form
    973.53/1,457.46 = 510.21/x
  3. Step 3: Cross multiply
    973.53x = 1,457.46 × 510.21
  4. Step 4: Simplify right side
    973.53x = 743,610.67
  5. Step 5: Solve for x
    x = 743,610.67/973.53
  6. Step 6: Final answer
    x = 763.83

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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.