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Finding the Fourth Proportional to 973.72, 1,460.64 and 563.32

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Solution

The fourth proportional to 973.72, 1,460.64 and 563.32 is: 845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.72 : 1,460.64 = 563.32 : x
  2. Step 2: Convert to fraction form
    973.72/1,460.64 = 563.32/x
  3. Step 3: Cross multiply
    973.72x = 1,460.64 × 563.32
  4. Step 4: Simplify right side
    973.72x = 822,807.72
  5. Step 5: Solve for x
    x = 822,807.72/973.72
  6. Step 6: Final answer
    x = 845.01

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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.