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Finding the Fourth Proportional to 1,130.33, 1,559.98 and 864.40

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Solution

The fourth proportional to 1,130.33, 1,559.98 and 864.40 is: 1,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.33 : 1,559.98 = 864.40 : x
  2. Step 2: Convert to fraction form
    1,130.33/1,559.98 = 864.40/x
  3. Step 3: Cross multiply
    1,130.33x = 1,559.98 × 864.40
  4. Step 4: Simplify right side
    1,130.33x = 1,348,444.86
  5. Step 5: Solve for x
    x = 1,348,444.86/1,130.33
  6. Step 6: Final answer
    x = 1,192.97

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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.