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Finding the Fourth Proportional to 1,042.02, 1,437.51 and 731.70

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Solution

The fourth proportional to 1,042.02, 1,437.51 and 731.70 is: 1,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.02 : 1,437.51 = 731.70 : x
  2. Step 2: Convert to fraction form
    1,042.02/1,437.51 = 731.70/x
  3. Step 3: Cross multiply
    1,042.02x = 1,437.51 × 731.70
  4. Step 4: Simplify right side
    1,042.02x = 1,051,826.07
  5. Step 5: Solve for x
    x = 1,051,826.07/1,042.02
  6. Step 6: Final answer
    x = 1,009.41

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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.