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Finding the Fourth Proportional to 877.42, 1,209.93 and 730

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Solution

The fourth proportional to 877.42, 1,209.93 and 730 is: 1,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.42 : 1,209.93 = 730 : x
  2. Step 2: Convert to fraction form
    877.42/1,209.93 = 730/x
  3. Step 3: Cross multiply
    877.42x = 1,209.93 × 730
  4. Step 4: Simplify right side
    877.42x = 883,248.90
  5. Step 5: Solve for x
    x = 883,248.90/877.42
  6. Step 6: Final answer
    x = 1,006.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.