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Finding the Fourth Proportional to 1,359.48, 1,875.24 and 862.14

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Solution

The fourth proportional to 1,359.48, 1,875.24 and 862.14 is: 1,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.48 : 1,875.24 = 862.14 : x
  2. Step 2: Convert to fraction form
    1,359.48/1,875.24 = 862.14/x
  3. Step 3: Cross multiply
    1,359.48x = 1,875.24 × 862.14
  4. Step 4: Simplify right side
    1,359.48x = 1,616,719.41
  5. Step 5: Solve for x
    x = 1,616,719.41/1,359.48
  6. Step 6: Final answer
    x = 1,189.22

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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.