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Finding the Fourth Proportional to 1,499.08, 2,248.54 and 473

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Solution

The fourth proportional to 1,499.08, 2,248.54 and 473 is: 709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.08 : 2,248.54 = 473 : x
  2. Step 2: Convert to fraction form
    1,499.08/2,248.54 = 473/x
  3. Step 3: Cross multiply
    1,499.08x = 2,248.54 × 473
  4. Step 4: Simplify right side
    1,499.08x = 1,063,559.42
  5. Step 5: Solve for x
    x = 1,063,559.42/1,499.08
  6. Step 6: Final answer
    x = 709.47

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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.