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Finding the Fourth Proportional to 1,135.37, 1,566.59 and 715.79

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Solution

The fourth proportional to 1,135.37, 1,566.59 and 715.79 is: 987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.37 : 1,566.59 = 715.79 : x
  2. Step 2: Convert to fraction form
    1,135.37/1,566.59 = 715.79/x
  3. Step 3: Cross multiply
    1,135.37x = 1,566.59 × 715.79
  4. Step 4: Simplify right side
    1,135.37x = 1,121,338.04
  5. Step 5: Solve for x
    x = 1,121,338.04/1,135.37
  6. Step 6: Final answer
    x = 987.65

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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.