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Finding the Fourth Proportional to 1,056.68, 1,455.78 and 761.42

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Solution

The fourth proportional to 1,056.68, 1,455.78 and 761.42 is: 1,049.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.68 : 1,455.78 = 761.42 : x
  2. Step 2: Convert to fraction form
    1,056.68/1,455.78 = 761.42/x
  3. Step 3: Cross multiply
    1,056.68x = 1,455.78 × 761.42
  4. Step 4: Simplify right side
    1,056.68x = 1,108,460.01
  5. Step 5: Solve for x
    x = 1,108,460.01/1,056.68
  6. Step 6: Final answer
    x = 1,049.00

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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.