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Finding the Fourth Proportional to 1,042.35, 1,437.93 and 688.89

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Solution

The fourth proportional to 1,042.35, 1,437.93 and 688.89 is: 950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.35 : 1,437.93 = 688.89 : x
  2. Step 2: Convert to fraction form
    1,042.35/1,437.93 = 688.89/x
  3. Step 3: Cross multiply
    1,042.35x = 1,437.93 × 688.89
  4. Step 4: Simplify right side
    1,042.35x = 990,575.60
  5. Step 5: Solve for x
    x = 990,575.60/1,042.35
  6. Step 6: Final answer
    x = 950.33

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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.