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Finding the Fourth Proportional to 1,472.85, 2,209.42 and 595.65

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Solution

The fourth proportional to 1,472.85, 2,209.42 and 595.65 is: 893.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.85 : 2,209.42 = 595.65 : x
  2. Step 2: Convert to fraction form
    1,472.85/2,209.42 = 595.65/x
  3. Step 3: Cross multiply
    1,472.85x = 2,209.42 × 595.65
  4. Step 4: Simplify right side
    1,472.85x = 1,316,041.02
  5. Step 5: Solve for x
    x = 1,316,041.02/1,472.85
  6. Step 6: Final answer
    x = 893.53

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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.