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Finding the Fourth Proportional to 1,038.51, 1,557.77 and 308.07

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Solution

The fourth proportional to 1,038.51, 1,557.77 and 308.07 is: 462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.51 : 1,557.77 = 308.07 : x
  2. Step 2: Convert to fraction form
    1,038.51/1,557.77 = 308.07/x
  3. Step 3: Cross multiply
    1,038.51x = 1,557.77 × 308.07
  4. Step 4: Simplify right side
    1,038.51x = 479,900.66
  5. Step 5: Solve for x
    x = 479,900.66/1,038.51
  6. Step 6: Final answer
    x = 462.11

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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.