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Finding the Fourth Proportional to 1,043.13, 1,566.06 and 957.18

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Solution

The fourth proportional to 1,043.13, 1,566.06 and 957.18 is: 1,437.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.13 : 1,566.06 = 957.18 : x
  2. Step 2: Convert to fraction form
    1,043.13/1,566.06 = 957.18/x
  3. Step 3: Cross multiply
    1,043.13x = 1,566.06 × 957.18
  4. Step 4: Simplify right side
    1,043.13x = 1,499,001.31
  5. Step 5: Solve for x
    x = 1,499,001.31/1,043.13
  6. Step 6: Final answer
    x = 1,437.02

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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.