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Finding the Fourth Proportional to 691.48, 1,032.16 and 609.47

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Solution

The fourth proportional to 691.48, 1,032.16 and 609.47 is: 909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.48 : 1,032.16 = 609.47 : x
  2. Step 2: Convert to fraction form
    691.48/1,032.16 = 609.47/x
  3. Step 3: Cross multiply
    691.48x = 1,032.16 × 609.47
  4. Step 4: Simplify right side
    691.48x = 629,070.56
  5. Step 5: Solve for x
    x = 629,070.56/691.48
  6. Step 6: Final answer
    x = 909.75

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1.5x scale

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.