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Finding the Fourth Proportional to 877.50, 1,316.25 and 492.78

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Solution

The fourth proportional to 877.50, 1,316.25 and 492.78 is: 739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.50 : 1,316.25 = 492.78 : x
  2. Step 2: Convert to fraction form
    877.50/1,316.25 = 492.78/x
  3. Step 3: Cross multiply
    877.50x = 1,316.25 × 492.78
  4. Step 4: Simplify right side
    877.50x = 648,621.68
  5. Step 5: Solve for x
    x = 648,621.68/877.50
  6. Step 6: Final answer
    x = 739.17

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Double scale
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1.5x scale

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.