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Finding the Fourth Proportional to 875.19, 1,312.71 and 509.75

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Solution

The fourth proportional to 875.19, 1,312.71 and 509.75 is: 764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.19 : 1,312.71 = 509.75 : x
  2. Step 2: Convert to fraction form
    875.19/1,312.71 = 509.75/x
  3. Step 3: Cross multiply
    875.19x = 1,312.71 × 509.75
  4. Step 4: Simplify right side
    875.19x = 669,147.36
  5. Step 5: Solve for x
    x = 669,147.36/875.19
  6. Step 6: Final answer
    x = 764.57

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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.