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Finding the Fourth Proportional to 1,090.34, 1,504.16 and 647.98

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Solution

The fourth proportional to 1,090.34, 1,504.16 and 647.98 is: 893.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.34 : 1,504.16 = 647.98 : x
  2. Step 2: Convert to fraction form
    1,090.34/1,504.16 = 647.98/x
  3. Step 3: Cross multiply
    1,090.34x = 1,504.16 × 647.98
  4. Step 4: Simplify right side
    1,090.34x = 974,665.60
  5. Step 5: Solve for x
    x = 974,665.60/1,090.34
  6. Step 6: Final answer
    x = 893.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.