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Finding the Fourth Proportional to 912.84, 1,259.70 and 558.64

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Solution

The fourth proportional to 912.84, 1,259.70 and 558.64 is: 770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.84 : 1,259.70 = 558.64 : x
  2. Step 2: Convert to fraction form
    912.84/1,259.70 = 558.64/x
  3. Step 3: Cross multiply
    912.84x = 1,259.70 × 558.64
  4. Step 4: Simplify right side
    912.84x = 703,718.81
  5. Step 5: Solve for x
    x = 703,718.81/912.84
  6. Step 6: Final answer
    x = 770.91

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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.