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Finding the Fourth Proportional to 973.25, 1,457.53 and 533.84

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Solution

The fourth proportional to 973.25, 1,457.53 and 533.84 is: 799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.25 : 1,457.53 = 533.84 : x
  2. Step 2: Convert to fraction form
    973.25/1,457.53 = 533.84/x
  3. Step 3: Cross multiply
    973.25x = 1,457.53 × 533.84
  4. Step 4: Simplify right side
    973.25x = 778,087.82
  5. Step 5: Solve for x
    x = 778,087.82/973.25
  6. Step 6: Final answer
    x = 799.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.