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Finding the Fourth Proportional to 1,159.62, 1,601.40 and 740.76

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Solution

The fourth proportional to 1,159.62, 1,601.40 and 740.76 is: 1,022.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.62 : 1,601.40 = 740.76 : x
  2. Step 2: Convert to fraction form
    1,159.62/1,601.40 = 740.76/x
  3. Step 3: Cross multiply
    1,159.62x = 1,601.40 × 740.76
  4. Step 4: Simplify right side
    1,159.62x = 1,186,253.06
  5. Step 5: Solve for x
    x = 1,186,253.06/1,159.62
  6. Step 6: Final answer
    x = 1,022.97

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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.