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Finding the Fourth Proportional to 975.30, 1,468.62 and 703.26

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Solution

The fourth proportional to 975.30, 1,468.62 and 703.26 is: 1,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.30 : 1,468.62 = 703.26 : x
  2. Step 2: Convert to fraction form
    975.30/1,468.62 = 703.26/x
  3. Step 3: Cross multiply
    975.30x = 1,468.62 × 703.26
  4. Step 4: Simplify right side
    975.30x = 1,032,821.70
  5. Step 5: Solve for x
    x = 1,032,821.70/975.30
  6. Step 6: Final answer
    x = 1,058.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.