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Finding the Fourth Proportional to 1,263.12, 1,895.13 and 646.98

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Solution

The fourth proportional to 1,263.12, 1,895.13 and 646.98 is: 970.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.12 : 1,895.13 = 646.98 : x
  2. Step 2: Convert to fraction form
    1,263.12/1,895.13 = 646.98/x
  3. Step 3: Cross multiply
    1,263.12x = 1,895.13 × 646.98
  4. Step 4: Simplify right side
    1,263.12x = 1,226,111.21
  5. Step 5: Solve for x
    x = 1,226,111.21/1,263.12
  6. Step 6: Final answer
    x = 970.70

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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.