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Finding the Fourth Proportional to 977.85, 1,464.89 and 652.50

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Solution

The fourth proportional to 977.85, 1,464.89 and 652.50 is: 977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.85 : 1,464.89 = 652.50 : x
  2. Step 2: Convert to fraction form
    977.85/1,464.89 = 652.50/x
  3. Step 3: Cross multiply
    977.85x = 1,464.89 × 652.50
  4. Step 4: Simplify right side
    977.85x = 955,837.46
  5. Step 5: Solve for x
    x = 955,837.46/977.85
  6. Step 6: Final answer
    x = 977.49

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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.