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Finding the Fourth Proportional to 973.05, 1,457.25 and 561.32

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Solution

The fourth proportional to 973.05, 1,457.25 and 561.32 is: 840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.05 : 1,457.25 = 561.32 : x
  2. Step 2: Convert to fraction form
    973.05/1,457.25 = 561.32/x
  3. Step 3: Cross multiply
    973.05x = 1,457.25 × 561.32
  4. Step 4: Simplify right side
    973.05x = 817,976.28
  5. Step 5: Solve for x
    x = 817,976.28/973.05
  6. Step 6: Final answer
    x = 840.63

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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.