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Finding the Fourth Proportional to 877.03, 1,209.94 and 503.92

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Solution

The fourth proportional to 877.03, 1,209.94 and 503.92 is: 695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.03 : 1,209.94 = 503.92 : x
  2. Step 2: Convert to fraction form
    877.03/1,209.94 = 503.92/x
  3. Step 3: Cross multiply
    877.03x = 1,209.94 × 503.92
  4. Step 4: Simplify right side
    877.03x = 609,713.22
  5. Step 5: Solve for x
    x = 609,713.22/877.03
  6. Step 6: Final answer
    x = 695.20

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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.