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Finding the Fourth Proportional to 1,050.29, 1,575.41 and 259.64

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Solution

The fourth proportional to 1,050.29, 1,575.41 and 259.64 is: 389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.29 : 1,575.41 = 259.64 : x
  2. Step 2: Convert to fraction form
    1,050.29/1,575.41 = 259.64/x
  3. Step 3: Cross multiply
    1,050.29x = 1,575.41 × 259.64
  4. Step 4: Simplify right side
    1,050.29x = 409,030.28
  5. Step 5: Solve for x
    x = 409,030.28/1,050.29
  6. Step 6: Final answer
    x = 389.45

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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.