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Finding the Fourth Proportional to 691.40, 1,036.35 and 457.07

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Solution

The fourth proportional to 691.40, 1,036.35 and 457.07 is: 685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.40 : 1,036.35 = 457.07 : x
  2. Step 2: Convert to fraction form
    691.40/1,036.35 = 457.07/x
  3. Step 3: Cross multiply
    691.40x = 1,036.35 × 457.07
  4. Step 4: Simplify right side
    691.40x = 473,679.31
  5. Step 5: Solve for x
    x = 473,679.31/691.40
  6. Step 6: Final answer
    x = 685.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.