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Finding the Fourth Proportional to 1,263.90, 1,897.62 and 648.06

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Solution

The fourth proportional to 1,263.90, 1,897.62 and 648.06 is: 973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.90 : 1,897.62 = 648.06 : x
  2. Step 2: Convert to fraction form
    1,263.90/1,897.62 = 648.06/x
  3. Step 3: Cross multiply
    1,263.90x = 1,897.62 × 648.06
  4. Step 4: Simplify right side
    1,263.90x = 1,229,771.62
  5. Step 5: Solve for x
    x = 1,229,771.62/1,263.90
  6. Step 6: Final answer
    x = 973.00

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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.