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Finding the Fourth Proportional to 1,437.19, 2,155.79 and 571.50

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Solution

The fourth proportional to 1,437.19, 2,155.79 and 571.50 is: 857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.19 : 2,155.79 = 571.50 : x
  2. Step 2: Convert to fraction form
    1,437.19/2,155.79 = 571.50/x
  3. Step 3: Cross multiply
    1,437.19x = 2,155.79 × 571.50
  4. Step 4: Simplify right side
    1,437.19x = 1,232,033.99
  5. Step 5: Solve for x
    x = 1,232,033.99/1,437.19
  6. Step 6: Final answer
    x = 857.25

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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.