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Finding the Fourth Proportional to 875.48, 1,313.26 and 407.39

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Solution

The fourth proportional to 875.48, 1,313.26 and 407.39 is: 611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.48 : 1,313.26 = 407.39 : x
  2. Step 2: Convert to fraction form
    875.48/1,313.26 = 407.39/x
  3. Step 3: Cross multiply
    875.48x = 1,313.26 × 407.39
  4. Step 4: Simplify right side
    875.48x = 535,011.26
  5. Step 5: Solve for x
    x = 535,011.26/875.48
  6. Step 6: Final answer
    x = 611.10

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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.