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Finding the Fourth Proportional to 973.68, 1,459.86 and 562.50

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Solution

The fourth proportional to 973.68, 1,459.86 and 562.50 is: 843.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.68 : 1,459.86 = 562.50 : x
  2. Step 2: Convert to fraction form
    973.68/1,459.86 = 562.50/x
  3. Step 3: Cross multiply
    973.68x = 1,459.86 × 562.50
  4. Step 4: Simplify right side
    973.68x = 821,171.25
  5. Step 5: Solve for x
    x = 821,171.25/973.68
  6. Step 6: Final answer
    x = 843.37

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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.