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Finding the Fourth Proportional to 1,140.72, 1,710.99 and 553.91

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Solution

The fourth proportional to 1,140.72, 1,710.99 and 553.91 is: 830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.72 : 1,710.99 = 553.91 : x
  2. Step 2: Convert to fraction form
    1,140.72/1,710.99 = 553.91/x
  3. Step 3: Cross multiply
    1,140.72x = 1,710.99 × 553.91
  4. Step 4: Simplify right side
    1,140.72x = 947,725.92
  5. Step 5: Solve for x
    x = 947,725.92/1,140.72
  6. Step 6: Final answer
    x = 830.82

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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.