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Finding the Fourth Proportional to 1,437.08, 2,153.59 and 570.38

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Solution

The fourth proportional to 1,437.08, 2,153.59 and 570.38 is: 854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.08 : 2,153.59 = 570.38 : x
  2. Step 2: Convert to fraction form
    1,437.08/2,153.59 = 570.38/x
  3. Step 3: Cross multiply
    1,437.08x = 2,153.59 × 570.38
  4. Step 4: Simplify right side
    1,437.08x = 1,228,352.47
  5. Step 5: Solve for x
    x = 1,228,352.47/1,437.08
  6. Step 6: Final answer
    x = 854.76

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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.