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Finding the Fourth Proportional to 1,090.59, 1,627.45 and 973.78

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Solution

The fourth proportional to 1,090.59, 1,627.45 and 973.78 is: 1,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.59 : 1,627.45 = 973.78 : x
  2. Step 2: Convert to fraction form
    1,090.59/1,627.45 = 973.78/x
  3. Step 3: Cross multiply
    1,090.59x = 1,627.45 × 973.78
  4. Step 4: Simplify right side
    1,090.59x = 1,584,777.24
  5. Step 5: Solve for x
    x = 1,584,777.24/1,090.59
  6. Step 6: Final answer
    x = 1,453.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.