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Finding the Fourth Proportional to 1,292.10, 1,783.13 and 702.65

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Solution

The fourth proportional to 1,292.10, 1,783.13 and 702.65 is: 969.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.10 : 1,783.13 = 702.65 : x
  2. Step 2: Convert to fraction form
    1,292.10/1,783.13 = 702.65/x
  3. Step 3: Cross multiply
    1,292.10x = 1,783.13 × 702.65
  4. Step 4: Simplify right side
    1,292.10x = 1,252,903.87
  5. Step 5: Solve for x
    x = 1,252,903.87/1,292.10
  6. Step 6: Final answer
    x = 969.66

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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.