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Finding the Fourth Proportional to 572.60, 783.90 and 558.02

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Solution

The fourth proportional to 572.60, 783.90 and 558.02 is: 763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.60 : 783.90 = 558.02 : x
  2. Step 2: Convert to fraction form
    572.60/783.90 = 558.02/x
  3. Step 3: Cross multiply
    572.60x = 783.90 × 558.02
  4. Step 4: Simplify right side
    572.60x = 437,427.96
  5. Step 5: Solve for x
    x = 437,427.96/572.60
  6. Step 6: Final answer
    x = 763.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.