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Finding the Fourth Proportional to 977.33, 1,464.63 and 702.13

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Solution

The fourth proportional to 977.33, 1,464.63 and 702.13 is: 1,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.33 : 1,464.63 = 702.13 : x
  2. Step 2: Convert to fraction form
    977.33/1,464.63 = 702.13/x
  3. Step 3: Cross multiply
    977.33x = 1,464.63 × 702.13
  4. Step 4: Simplify right side
    977.33x = 1,028,357.15
  5. Step 5: Solve for x
    x = 1,028,357.15/977.33
  6. Step 6: Final answer
    x = 1,052.21

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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.