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Finding the Fourth Proportional to 1,110.32, 1,531.14 and 953.50

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Solution

The fourth proportional to 1,110.32, 1,531.14 and 953.50 is: 1,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.32 : 1,531.14 = 953.50 : x
  2. Step 2: Convert to fraction form
    1,110.32/1,531.14 = 953.50/x
  3. Step 3: Cross multiply
    1,110.32x = 1,531.14 × 953.50
  4. Step 4: Simplify right side
    1,110.32x = 1,459,941.99
  5. Step 5: Solve for x
    x = 1,459,941.99/1,110.32
  6. Step 6: Final answer
    x = 1,314.88

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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.