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Finding the Fourth Proportional to 1,292.00, 1,782.89 and 702.53

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Solution

The fourth proportional to 1,292.00, 1,782.89 and 702.53 is: 969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.00 : 1,782.89 = 702.53 : x
  2. Step 2: Convert to fraction form
    1,292.00/1,782.89 = 702.53/x
  3. Step 3: Cross multiply
    1,292.00x = 1,782.89 × 702.53
  4. Step 4: Simplify right side
    1,292.00x = 1,252,525.74
  5. Step 5: Solve for x
    x = 1,252,525.74/1,292.00
  6. Step 6: Final answer
    x = 969.45

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