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Finding the Fourth Proportional to 977.04, 1,348.00 and 584.15

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Solution

The fourth proportional to 977.04, 1,348.00 and 584.15 is: 805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.04 : 1,348.00 = 584.15 : x
  2. Step 2: Convert to fraction form
    977.04/1,348.00 = 584.15/x
  3. Step 3: Cross multiply
    977.04x = 1,348.00 × 584.15
  4. Step 4: Simplify right side
    977.04x = 787,426.00
  5. Step 5: Solve for x
    x = 787,426.00/977.04
  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.