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Finding the Fourth Proportional to 1,050.24, 1,575.49 and 465.25

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Solution

The fourth proportional to 1,050.24, 1,575.49 and 465.25 is: 697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.24 : 1,575.49 = 465.25 : x
  2. Step 2: Convert to fraction form
    1,050.24/1,575.49 = 465.25/x
  3. Step 3: Cross multiply
    1,050.24x = 1,575.49 × 465.25
  4. Step 4: Simplify right side
    1,050.24x = 732,998.84
  5. Step 5: Solve for x
    x = 732,998.84/1,050.24
  6. Step 6: Final answer
    x = 697.93

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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.