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Finding the Fourth Proportional to 1,159.33, 1,599.66 and 738.94

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Solution

The fourth proportional to 1,159.33, 1,599.66 and 738.94 is: 1,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.33 : 1,599.66 = 738.94 : x
  2. Step 2: Convert to fraction form
    1,159.33/1,599.66 = 738.94/x
  3. Step 3: Cross multiply
    1,159.33x = 1,599.66 × 738.94
  4. Step 4: Simplify right side
    1,159.33x = 1,182,052.76
  5. Step 5: Solve for x
    x = 1,182,052.76/1,159.33
  6. Step 6: Final answer
    x = 1,019.60

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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.