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Finding the Fourth Proportional to 1,050.14, 1,573.99 and 587.63

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Solution

The fourth proportional to 1,050.14, 1,573.99 and 587.63 is: 880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.14 : 1,573.99 = 587.63 : x
  2. Step 2: Convert to fraction form
    1,050.14/1,573.99 = 587.63/x
  3. Step 3: Cross multiply
    1,050.14x = 1,573.99 × 587.63
  4. Step 4: Simplify right side
    1,050.14x = 924,923.74
  5. Step 5: Solve for x
    x = 924,923.74/1,050.14
  6. Step 6: Final answer
    x = 880.76

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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.