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Finding the Fourth Proportional to 1,040.71, 1,557.14 and 578.82

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Solution

The fourth proportional to 1,040.71, 1,557.14 and 578.82 is: 866.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.71 : 1,557.14 = 578.82 : x
  2. Step 2: Convert to fraction form
    1,040.71/1,557.14 = 578.82/x
  3. Step 3: Cross multiply
    1,040.71x = 1,557.14 × 578.82
  4. Step 4: Simplify right side
    1,040.71x = 901,303.77
  5. Step 5: Solve for x
    x = 901,303.77/1,040.71
  6. Step 6: Final answer
    x = 866.05

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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.