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Finding the Fourth Proportional to 875.40, 1,207.78 and 497.23

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Solution

The fourth proportional to 875.40, 1,207.78 and 497.23 is: 686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.40 : 1,207.78 = 497.23 : x
  2. Step 2: Convert to fraction form
    875.40/1,207.78 = 497.23/x
  3. Step 3: Cross multiply
    875.40x = 1,207.78 × 497.23
  4. Step 4: Simplify right side
    875.40x = 600,544.45
  5. Step 5: Solve for x
    x = 600,544.45/875.40
  6. Step 6: Final answer
    x = 686.02

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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.