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Finding the Fourth Proportional to 1,050.87, 1,575.67 and 434.98

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Solution

The fourth proportional to 1,050.87, 1,575.67 and 434.98 is: 652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.87 : 1,575.67 = 434.98 : x
  2. Step 2: Convert to fraction form
    1,050.87/1,575.67 = 434.98/x
  3. Step 3: Cross multiply
    1,050.87x = 1,575.67 × 434.98
  4. Step 4: Simplify right side
    1,050.87x = 685,384.94
  5. Step 5: Solve for x
    x = 685,384.94/1,050.87
  6. Step 6: Final answer
    x = 652.21

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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.