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Finding the Fourth Proportional to 977.08, 1,465.62 and 489.46

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Solution

The fourth proportional to 977.08, 1,465.62 and 489.46 is: 734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.08 : 1,465.62 = 489.46 : x
  2. Step 2: Convert to fraction form
    977.08/1,465.62 = 489.46/x
  3. Step 3: Cross multiply
    977.08x = 1,465.62 × 489.46
  4. Step 4: Simplify right side
    977.08x = 717,362.37
  5. Step 5: Solve for x
    x = 717,362.37/977.08
  6. Step 6: Final answer
    x = 734.19

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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.