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Finding the Fourth Proportional to 1,036.45, 1,428.60 and 686.53

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Solution

The fourth proportional to 1,036.45, 1,428.60 and 686.53 is: 946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.45 : 1,428.60 = 686.53 : x
  2. Step 2: Convert to fraction form
    1,036.45/1,428.60 = 686.53/x
  3. Step 3: Cross multiply
    1,036.45x = 1,428.60 × 686.53
  4. Step 4: Simplify right side
    1,036.45x = 980,776.76
  5. Step 5: Solve for x
    x = 980,776.76/1,036.45
  6. Step 6: Final answer
    x = 946.28

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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.