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Finding the Fourth Proportional to 977.09, 1,465.02 and 392.06

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Solution

The fourth proportional to 977.09, 1,465.02 and 392.06 is: 587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.09 : 1,465.02 = 392.06 : x
  2. Step 2: Convert to fraction form
    977.09/1,465.02 = 392.06/x
  3. Step 3: Cross multiply
    977.09x = 1,465.02 × 392.06
  4. Step 4: Simplify right side
    977.09x = 574,379.40
  5. Step 5: Solve for x
    x = 574,379.40/977.09
  6. Step 6: Final answer
    x = 587.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.