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Finding the Fourth Proportional to 1,160.77, 1,602.24 and 1,037.75

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Solution

The fourth proportional to 1,160.77, 1,602.24 and 1,037.75 is: 1,432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.77 : 1,602.24 = 1,037.75 : x
  2. Step 2: Convert to fraction form
    1,160.77/1,602.24 = 1,037.75/x
  3. Step 3: Cross multiply
    1,160.77x = 1,602.24 × 1,037.75
  4. Step 4: Simplify right side
    1,160.77x = 1,662,726.45
  5. Step 5: Solve for x
    x = 1,662,726.45/1,160.77
  6. Step 6: Final answer
    x = 1,432.44

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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.