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Finding the Fourth Proportional to 875.32, 1,312.06 and 829.75

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Solution

The fourth proportional to 875.32, 1,312.06 and 829.75 is: 1,243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.32 : 1,312.06 = 829.75 : x
  2. Step 2: Convert to fraction form
    875.32/1,312.06 = 829.75/x
  3. Step 3: Cross multiply
    875.32x = 1,312.06 × 829.75
  4. Step 4: Simplify right side
    875.32x = 1,088,681.79
  5. Step 5: Solve for x
    x = 1,088,681.79/875.32
  6. Step 6: Final answer
    x = 1,243.75

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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.