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Finding the Fourth Proportional to 595.74, 894 and 509.88

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Solution

The fourth proportional to 595.74, 894 and 509.88 is: 765.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.74 : 894 = 509.88 : x
  2. Step 2: Convert to fraction form
    595.74/894 = 509.88/x
  3. Step 3: Cross multiply
    595.74x = 894 × 509.88
  4. Step 4: Simplify right side
    595.74x = 455,832.72
  5. Step 5: Solve for x
    x = 455,832.72/595.74
  6. Step 6: Final answer
    x = 765.15

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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.