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Finding the Fourth Proportional to 709.32, 976.53 and 689.07

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Solution

The fourth proportional to 709.32, 976.53 and 689.07 is: 948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.32 : 976.53 = 689.07 : x
  2. Step 2: Convert to fraction form
    709.32/976.53 = 689.07/x
  3. Step 3: Cross multiply
    709.32x = 976.53 × 689.07
  4. Step 4: Simplify right side
    709.32x = 672,897.53
  5. Step 5: Solve for x
    x = 672,897.53/709.32
  6. Step 6: Final answer
    x = 948.65

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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.