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Finding the Fourth Proportional to 977.05, 1,347.64 and 583.75

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Solution

The fourth proportional to 977.05, 1,347.64 and 583.75 is: 805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.05 : 1,347.64 = 583.75 : x
  2. Step 2: Convert to fraction form
    977.05/1,347.64 = 583.75/x
  3. Step 3: Cross multiply
    977.05x = 1,347.64 × 583.75
  4. Step 4: Simplify right side
    977.05x = 786,684.85
  5. Step 5: Solve for x
    x = 786,684.85/977.05
  6. Step 6: Final answer
    x = 805.16

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Why These Related Problems?

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