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Finding the Fourth Proportional to 1,041.14, 1,437.29 and 648.29

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Solution

The fourth proportional to 1,041.14, 1,437.29 and 648.29 is: 894.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.14 : 1,437.29 = 648.29 : x
  2. Step 2: Convert to fraction form
    1,041.14/1,437.29 = 648.29/x
  3. Step 3: Cross multiply
    1,041.14x = 1,437.29 × 648.29
  4. Step 4: Simplify right side
    1,041.14x = 931,775.17
  5. Step 5: Solve for x
    x = 931,775.17/1,041.14
  6. Step 6: Final answer
    x = 894.96

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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.