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Finding the Fourth Proportional to 1,049.77, 1,574.56 and 319.36

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Solution

The fourth proportional to 1,049.77, 1,574.56 and 319.36 is: 479.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.77 : 1,574.56 = 319.36 : x
  2. Step 2: Convert to fraction form
    1,049.77/1,574.56 = 319.36/x
  3. Step 3: Cross multiply
    1,049.77x = 1,574.56 × 319.36
  4. Step 4: Simplify right side
    1,049.77x = 502,851.48
  5. Step 5: Solve for x
    x = 502,851.48/1,049.77
  6. Step 6: Final answer
    x = 479.01

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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.