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Finding the Fourth Proportional to 1,576.06, 2,174.79 and 877.39

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Solution

The fourth proportional to 1,576.06, 2,174.79 and 877.39 is: 1,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.06 : 2,174.79 = 877.39 : x
  2. Step 2: Convert to fraction form
    1,576.06/2,174.79 = 877.39/x
  3. Step 3: Cross multiply
    1,576.06x = 2,174.79 × 877.39
  4. Step 4: Simplify right side
    1,576.06x = 1,908,139.00
  5. Step 5: Solve for x
    x = 1,908,139.00/1,576.06
  6. Step 6: Final answer
    x = 1,210.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.