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Finding the Fourth Proportional to 973.77, 1,461.25 and 388.67

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Solution

The fourth proportional to 973.77, 1,461.25 and 388.67 is: 583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.77 : 1,461.25 = 388.67 : x
  2. Step 2: Convert to fraction form
    973.77/1,461.25 = 388.67/x
  3. Step 3: Cross multiply
    973.77x = 1,461.25 × 388.67
  4. Step 4: Simplify right side
    973.77x = 567,944.04
  5. Step 5: Solve for x
    x = 567,944.04/973.77
  6. Step 6: Final answer
    x = 583.24

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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.