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Finding the Fourth Proportional to 1,250.66, 1,875.77 and 373.14

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Solution

The fourth proportional to 1,250.66, 1,875.77 and 373.14 is: 559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.66 : 1,875.77 = 373.14 : x
  2. Step 2: Convert to fraction form
    1,250.66/1,875.77 = 373.14/x
  3. Step 3: Cross multiply
    1,250.66x = 1,875.77 × 373.14
  4. Step 4: Simplify right side
    1,250.66x = 699,924.82
  5. Step 5: Solve for x
    x = 699,924.82/1,250.66
  6. Step 6: Final answer
    x = 559.64

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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.