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Finding the Fourth Proportional to 1,130.31, 1,559.83 and 632.95

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Solution

The fourth proportional to 1,130.31, 1,559.83 and 632.95 is: 873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.31 : 1,559.83 = 632.95 : x
  2. Step 2: Convert to fraction form
    1,130.31/1,559.83 = 632.95/x
  3. Step 3: Cross multiply
    1,130.31x = 1,559.83 × 632.95
  4. Step 4: Simplify right side
    1,130.31x = 987,291.23
  5. Step 5: Solve for x
    x = 987,291.23/1,130.31
  6. Step 6: Final answer
    x = 873.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.