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Finding the Fourth Proportional to 977.18, 1,465.77 and 705

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Solution

The fourth proportional to 977.18, 1,465.77 and 705 is: 1,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.18 : 1,465.77 = 705 : x
  2. Step 2: Convert to fraction form
    977.18/1,465.77 = 705/x
  3. Step 3: Cross multiply
    977.18x = 1,465.77 × 705
  4. Step 4: Simplify right side
    977.18x = 1,033,367.85
  5. Step 5: Solve for x
    x = 1,033,367.85/977.18
  6. Step 6: Final answer
    x = 1,057.51

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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.