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Finding the Fourth Proportional to 1,437.34, 2,155.80 and 512.77

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Solution

The fourth proportional to 1,437.34, 2,155.80 and 512.77 is: 769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.34 : 2,155.80 = 512.77 : x
  2. Step 2: Convert to fraction form
    1,437.34/2,155.80 = 512.77/x
  3. Step 3: Cross multiply
    1,437.34x = 2,155.80 × 512.77
  4. Step 4: Simplify right side
    1,437.34x = 1,105,418.79
  5. Step 5: Solve for x
    x = 1,105,418.79/1,437.34
  6. Step 6: Final answer
    x = 769.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.