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Finding the Fourth Proportional to 1,130.23, 1,559.79 and 632.91

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Solution

The fourth proportional to 1,130.23, 1,559.79 and 632.91 is: 873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.23 : 1,559.79 = 632.91 : x
  2. Step 2: Convert to fraction form
    1,130.23/1,559.79 = 632.91/x
  3. Step 3: Cross multiply
    1,130.23x = 1,559.79 × 632.91
  4. Step 4: Simplify right side
    1,130.23x = 987,206.69
  5. Step 5: Solve for x
    x = 987,206.69/1,130.23
  6. Step 6: Final answer
    x = 873.46

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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.