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Finding the Fourth Proportional to 633, 873.53 and 509.52

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Solution

The fourth proportional to 633, 873.53 and 509.52 is: 703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    633 : 873.53 = 509.52 : x
  2. Step 2: Convert to fraction form
    633/873.53 = 509.52/x
  3. Step 3: Cross multiply
    633x = 873.53 × 509.52
  4. Step 4: Simplify right side
    633x = 445,081.01
  5. Step 5: Solve for x
    x = 445,081.01/633
  6. Step 6: Final answer
    x = 703.13

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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.