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Finding the Fourth Proportional to 1,644.32, 2,465.87 and 473.93

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Solution

The fourth proportional to 1,644.32, 2,465.87 and 473.93 is: 710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.32 : 2,465.87 = 473.93 : x
  2. Step 2: Convert to fraction form
    1,644.32/2,465.87 = 473.93/x
  3. Step 3: Cross multiply
    1,644.32x = 2,465.87 × 473.93
  4. Step 4: Simplify right side
    1,644.32x = 1,168,649.77
  5. Step 5: Solve for x
    x = 1,168,649.77/1,644.32
  6. Step 6: Final answer
    x = 710.72

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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.