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Finding the Fourth Proportional to 1,042.08, 1,437.36 and 687.30

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Solution

The fourth proportional to 1,042.08, 1,437.36 and 687.30 is: 948.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.08 : 1,437.36 = 687.30 : x
  2. Step 2: Convert to fraction form
    1,042.08/1,437.36 = 687.30/x
  3. Step 3: Cross multiply
    1,042.08x = 1,437.36 × 687.30
  4. Step 4: Simplify right side
    1,042.08x = 987,897.53
  5. Step 5: Solve for x
    x = 987,897.53/1,042.08
  6. Step 6: Final answer
    x = 948.01

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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.