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Finding the Fourth Proportional to 973.10, 1,456.49 and 533.25

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Solution

The fourth proportional to 973.10, 1,456.49 and 533.25 is: 798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.10 : 1,456.49 = 533.25 : x
  2. Step 2: Convert to fraction form
    973.10/1,456.49 = 533.25/x
  3. Step 3: Cross multiply
    973.10x = 1,456.49 × 533.25
  4. Step 4: Simplify right side
    973.10x = 776,669.83
  5. Step 5: Solve for x
    x = 776,669.83/973.10
  6. Step 6: Final answer
    x = 798.14

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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.