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Finding the Fourth Proportional to 1,047.14, 1,570.70 and 636.39

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Solution

The fourth proportional to 1,047.14, 1,570.70 and 636.39 is: 954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.14 : 1,570.70 = 636.39 : x
  2. Step 2: Convert to fraction form
    1,047.14/1,570.70 = 636.39/x
  3. Step 3: Cross multiply
    1,047.14x = 1,570.70 × 636.39
  4. Step 4: Simplify right side
    1,047.14x = 999,577.77
  5. Step 5: Solve for x
    x = 999,577.77/1,047.14
  6. Step 6: Final answer
    x = 954.58

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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.