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Finding the Fourth Proportional to 841.39, 1,160.80 and 509.69

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Solution

The fourth proportional to 841.39, 1,160.80 and 509.69 is: 703.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.39 : 1,160.80 = 509.69 : x
  2. Step 2: Convert to fraction form
    841.39/1,160.80 = 509.69/x
  3. Step 3: Cross multiply
    841.39x = 1,160.80 × 509.69
  4. Step 4: Simplify right side
    841.39x = 591,651.69
  5. Step 5: Solve for x
    x = 591,651.69/841.39
  6. Step 6: Final answer
    x = 703.19

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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.