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Finding the Fourth Proportional to 1,126.76, 1,688.56 and 533.15

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Solution

The fourth proportional to 1,126.76, 1,688.56 and 533.15 is: 798.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.76 : 1,688.56 = 533.15 : x
  2. Step 2: Convert to fraction form
    1,126.76/1,688.56 = 533.15/x
  3. Step 3: Cross multiply
    1,126.76x = 1,688.56 × 533.15
  4. Step 4: Simplify right side
    1,126.76x = 900,253.10
  5. Step 5: Solve for x
    x = 900,253.10/1,126.76
  6. Step 6: Final answer
    x = 798.98

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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.