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Finding the Fourth Proportional to 1,056.90, 1,458.99 and 777.18

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Solution

The fourth proportional to 1,056.90, 1,458.99 and 777.18 is: 1,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.90 : 1,458.99 = 777.18 : x
  2. Step 2: Convert to fraction form
    1,056.90/1,458.99 = 777.18/x
  3. Step 3: Cross multiply
    1,056.90x = 1,458.99 × 777.18
  4. Step 4: Simplify right side
    1,056.90x = 1,133,897.85
  5. Step 5: Solve for x
    x = 1,133,897.85/1,056.90
  6. Step 6: Final answer
    x = 1,072.85

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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.