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Finding the Fourth Proportional to 695.48, 957.69 and 498.65

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Solution

The fourth proportional to 695.48, 957.69 and 498.65 is: 686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.48 : 957.69 = 498.65 : x
  2. Step 2: Convert to fraction form
    695.48/957.69 = 498.65/x
  3. Step 3: Cross multiply
    695.48x = 957.69 × 498.65
  4. Step 4: Simplify right side
    695.48x = 477,547.33
  5. Step 5: Solve for x
    x = 477,547.33/695.48
  6. Step 6: Final answer
    x = 686.65

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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.