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Finding the Fourth Proportional to 1,032.95, 1,549.42 and 263.45

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Solution

The fourth proportional to 1,032.95, 1,549.42 and 263.45 is: 395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.95 : 1,549.42 = 263.45 : x
  2. Step 2: Convert to fraction form
    1,032.95/1,549.42 = 263.45/x
  3. Step 3: Cross multiply
    1,032.95x = 1,549.42 × 263.45
  4. Step 4: Simplify right side
    1,032.95x = 408,186.29
  5. Step 5: Solve for x
    x = 408,186.29/1,032.95
  6. Step 6: Final answer
    x = 395.17

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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.