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Finding the Fourth Proportional to 570, 784.17 and 545.70

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Solution

The fourth proportional to 570, 784.17 and 545.70 is: 750.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    570 : 784.17 = 545.70 : x
  2. Step 2: Convert to fraction form
    570/784.17 = 545.70/x
  3. Step 3: Cross multiply
    570x = 784.17 × 545.70
  4. Step 4: Simplify right side
    570x = 427,921.57
  5. Step 5: Solve for x
    x = 427,921.57/570
  6. Step 6: Final answer
    x = 750.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.