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Finding the Fourth Proportional to 875.58, 1,313.64 and 464.66

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Solution

The fourth proportional to 875.58, 1,313.64 and 464.66 is: 697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.58 : 1,313.64 = 464.66 : x
  2. Step 2: Convert to fraction form
    875.58/1,313.64 = 464.66/x
  3. Step 3: Cross multiply
    875.58x = 1,313.64 × 464.66
  4. Step 4: Simplify right side
    875.58x = 610,395.96
  5. Step 5: Solve for x
    x = 610,395.96/875.58
  6. Step 6: Final answer
    x = 697.13

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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.