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Finding the Fourth Proportional to 1,010.55, 1,505.94 and 977.55

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Solution

The fourth proportional to 1,010.55, 1,505.94 and 977.55 is: 1,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.55 : 1,505.94 = 977.55 : x
  2. Step 2: Convert to fraction form
    1,010.55/1,505.94 = 977.55/x
  3. Step 3: Cross multiply
    1,010.55x = 1,505.94 × 977.55
  4. Step 4: Simplify right side
    1,010.55x = 1,472,131.65
  5. Step 5: Solve for x
    x = 1,472,131.65/1,010.55
  6. Step 6: Final answer
    x = 1,456.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.