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Finding the Fourth Proportional to 877.92, 1,310.93 and 785.58

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Solution

The fourth proportional to 877.92, 1,310.93 and 785.58 is: 1,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.92 : 1,310.93 = 785.58 : x
  2. Step 2: Convert to fraction form
    877.92/1,310.93 = 785.58/x
  3. Step 3: Cross multiply
    877.92x = 1,310.93 × 785.58
  4. Step 4: Simplify right side
    877.92x = 1,029,836.46
  5. Step 5: Solve for x
    x = 1,029,836.46/877.92
  6. Step 6: Final answer
    x = 1,173.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.