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Finding the Fourth Proportional to 912.74, 1,259.58 and 498.74

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Solution

The fourth proportional to 912.74, 1,259.58 and 498.74 is: 688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.74 : 1,259.58 = 498.74 : x
  2. Step 2: Convert to fraction form
    912.74/1,259.58 = 498.74/x
  3. Step 3: Cross multiply
    912.74x = 1,259.58 × 498.74
  4. Step 4: Simplify right side
    912.74x = 628,207.95
  5. Step 5: Solve for x
    x = 628,207.95/912.74
  6. Step 6: Final answer
    x = 688.26

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.