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Finding the Fourth Proportional to 877.94, 1,317.74 and 631.40

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Solution

The fourth proportional to 877.94, 1,317.74 and 631.40 is: 947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.94 : 1,317.74 = 631.40 : x
  2. Step 2: Convert to fraction form
    877.94/1,317.74 = 631.40/x
  3. Step 3: Cross multiply
    877.94x = 1,317.74 × 631.40
  4. Step 4: Simplify right side
    877.94x = 832,011.29
  5. Step 5: Solve for x
    x = 832,011.29/877.94
  6. Step 6: Final answer
    x = 947.69

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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.