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Finding the Fourth Proportional to 1,125.76, 1,688.62 and 356.26

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Solution

The fourth proportional to 1,125.76, 1,688.62 and 356.26 is: 534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.76 : 1,688.62 = 356.26 : x
  2. Step 2: Convert to fraction form
    1,125.76/1,688.62 = 356.26/x
  3. Step 3: Cross multiply
    1,125.76x = 1,688.62 × 356.26
  4. Step 4: Simplify right side
    1,125.76x = 601,587.76
  5. Step 5: Solve for x
    x = 601,587.76/1,125.76
  6. Step 6: Final answer
    x = 534.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.