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Finding the Fourth Proportional to 977.67, 1,465.76 and 352.76

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Solution

The fourth proportional to 977.67, 1,465.76 and 352.76 is: 528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.67 : 1,465.76 = 352.76 : x
  2. Step 2: Convert to fraction form
    977.67/1,465.76 = 352.76/x
  3. Step 3: Cross multiply
    977.67x = 1,465.76 × 352.76
  4. Step 4: Simplify right side
    977.67x = 517,055.05
  5. Step 5: Solve for x
    x = 517,055.05/977.67
  6. Step 6: Final answer
    x = 528.86

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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.