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Finding the Fourth Proportional to 875.13, 1,312.70 and 464.57

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Solution

The fourth proportional to 875.13, 1,312.70 and 464.57 is: 696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.13 : 1,312.70 = 464.57 : x
  2. Step 2: Convert to fraction form
    875.13/1,312.70 = 464.57/x
  3. Step 3: Cross multiply
    875.13x = 1,312.70 × 464.57
  4. Step 4: Simplify right side
    875.13x = 609,838.72
  5. Step 5: Solve for x
    x = 609,838.72/875.13
  6. Step 6: Final answer
    x = 696.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.