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Finding the Fourth Proportional to 595.60, 893.40 and 523.60

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Solution

The fourth proportional to 595.60, 893.40 and 523.60 is: 785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.60 : 893.40 = 523.60 : x
  2. Step 2: Convert to fraction form
    595.60/893.40 = 523.60/x
  3. Step 3: Cross multiply
    595.60x = 893.40 × 523.60
  4. Step 4: Simplify right side
    595.60x = 467,784.24
  5. Step 5: Solve for x
    x = 467,784.24/595.60
  6. Step 6: Final answer
    x = 785.40

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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.