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Finding the Fourth Proportional to 1,056.32, 1,581.72 and 746.50

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Solution

The fourth proportional to 1,056.32, 1,581.72 and 746.50 is: 1,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.32 : 1,581.72 = 746.50 : x
  2. Step 2: Convert to fraction form
    1,056.32/1,581.72 = 746.50/x
  3. Step 3: Cross multiply
    1,056.32x = 1,581.72 × 746.50
  4. Step 4: Simplify right side
    1,056.32x = 1,180,753.98
  5. Step 5: Solve for x
    x = 1,180,753.98/1,056.32
  6. Step 6: Final answer
    x = 1,117.80

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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.