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Finding the Fourth Proportional to 977.04, 1,347.57 and 583.56

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Solution

The fourth proportional to 977.04, 1,347.57 and 583.56 is: 804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.04 : 1,347.57 = 583.56 : x
  2. Step 2: Convert to fraction form
    977.04/1,347.57 = 583.56/x
  3. Step 3: Cross multiply
    977.04x = 1,347.57 × 583.56
  4. Step 4: Simplify right side
    977.04x = 786,387.95
  5. Step 5: Solve for x
    x = 786,387.95/977.04
  6. Step 6: Final answer
    x = 804.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.