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Finding the Fourth Proportional to 1,359.04, 1,875.68 and 894.24

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Solution

The fourth proportional to 1,359.04, 1,875.68 and 894.24 is: 1,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.04 : 1,875.68 = 894.24 : x
  2. Step 2: Convert to fraction form
    1,359.04/1,875.68 = 894.24/x
  3. Step 3: Cross multiply
    1,359.04x = 1,875.68 × 894.24
  4. Step 4: Simplify right side
    1,359.04x = 1,677,308.08
  5. Step 5: Solve for x
    x = 1,677,308.08/1,359.04
  6. Step 6: Final answer
    x = 1,234.19

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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.