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Finding the Fourth Proportional to 977.02, 1,348.32 and 583.99

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Solution

The fourth proportional to 977.02, 1,348.32 and 583.99 is: 805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.02 : 1,348.32 = 583.99 : x
  2. Step 2: Convert to fraction form
    977.02/1,348.32 = 583.99/x
  3. Step 3: Cross multiply
    977.02x = 1,348.32 × 583.99
  4. Step 4: Simplify right side
    977.02x = 787,405.40
  5. Step 5: Solve for x
    x = 787,405.40/977.02
  6. Step 6: Final answer
    x = 805.93

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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.