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Finding the Fourth Proportional to 695.32, 1,036.88 and 590.84

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Solution

The fourth proportional to 695.32, 1,036.88 and 590.84 is: 881.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.32 : 1,036.88 = 590.84 : x
  2. Step 2: Convert to fraction form
    695.32/1,036.88 = 590.84/x
  3. Step 3: Cross multiply
    695.32x = 1,036.88 × 590.84
  4. Step 4: Simplify right side
    695.32x = 612,630.18
  5. Step 5: Solve for x
    x = 612,630.18/695.32
  6. Step 6: Final answer
    x = 881.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.