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Finding the Fourth Proportional to 926.49, 1,277.00 and 702.35

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Solution

The fourth proportional to 926.49, 1,277.00 and 702.35 is: 968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.49 : 1,277.00 = 702.35 : x
  2. Step 2: Convert to fraction form
    926.49/1,277.00 = 702.35/x
  3. Step 3: Cross multiply
    926.49x = 1,277.00 × 702.35
  4. Step 4: Simplify right side
    926.49x = 896,902.97
  5. Step 5: Solve for x
    x = 896,902.97/926.49
  6. Step 6: Final answer
    x = 968.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.