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Finding the Fourth Proportional to 684,702.70, 1,027,054.05 and 684,702.70

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Solution

The fourth proportional to 684,702.70, 1,027,054.05 and 684,702.70 is: 1,027,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,702.70 : 1,027,054.05 = 684,702.70 : x
  2. Step 2: Convert to fraction form
    684,702.70/1,027,054.05 = 684,702.70/x
  3. Step 3: Cross multiply
    684,702.70x = 1,027,054.05 × 684,702.70
  4. Step 4: Simplify right side
    684,702.70x = 703,226,681,080.94
  5. Step 5: Solve for x
    x = 703,226,681,080.94/684,702.70
  6. Step 6: Final answer
    x = 1,027,054.05

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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.