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Finding the Fourth Proportional to 1,404.64, 2,106.16 and 582.47

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Solution

The fourth proportional to 1,404.64, 2,106.16 and 582.47 is: 873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.64 : 2,106.16 = 582.47 : x
  2. Step 2: Convert to fraction form
    1,404.64/2,106.16 = 582.47/x
  3. Step 3: Cross multiply
    1,404.64x = 2,106.16 × 582.47
  4. Step 4: Simplify right side
    1,404.64x = 1,226,775.02
  5. Step 5: Solve for x
    x = 1,226,775.02/1,404.64
  6. Step 6: Final answer
    x = 873.37

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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.