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Finding the Fourth Proportional to 1,564.76, 2,345.07 and 832.76

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Solution

The fourth proportional to 1,564.76, 2,345.07 and 832.76 is: 1,248.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.76 : 2,345.07 = 832.76 : x
  2. Step 2: Convert to fraction form
    1,564.76/2,345.07 = 832.76/x
  3. Step 3: Cross multiply
    1,564.76x = 2,345.07 × 832.76
  4. Step 4: Simplify right side
    1,564.76x = 1,952,880.49
  5. Step 5: Solve for x
    x = 1,952,880.49/1,564.76
  6. Step 6: Final answer
    x = 1,248.04

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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.