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Finding the Fourth Proportional to 977.90, 1,464 and 747.70

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Solution

The fourth proportional to 977.90, 1,464 and 747.70 is: 1,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.90 : 1,464 = 747.70 : x
  2. Step 2: Convert to fraction form
    977.90/1,464 = 747.70/x
  3. Step 3: Cross multiply
    977.90x = 1,464 × 747.70
  4. Step 4: Simplify right side
    977.90x = 1,094,632.80
  5. Step 5: Solve for x
    x = 1,094,632.80/977.90
  6. Step 6: Final answer
    x = 1,119.37

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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.