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Finding the Fourth Proportional to 1,263.40, 1,895.40 and 647.20

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Solution

The fourth proportional to 1,263.40, 1,895.40 and 647.20 is: 970.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.40 : 1,895.40 = 647.20 : x
  2. Step 2: Convert to fraction form
    1,263.40/1,895.40 = 647.20/x
  3. Step 3: Cross multiply
    1,263.40x = 1,895.40 × 647.20
  4. Step 4: Simplify right side
    1,263.40x = 1,226,702.88
  5. Step 5: Solve for x
    x = 1,226,702.88/1,263.40
  6. Step 6: Final answer
    x = 970.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.