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Finding the Fourth Proportional to 877.09, 1,316.03 and 390.46

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Solution

The fourth proportional to 877.09, 1,316.03 and 390.46 is: 585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.09 : 1,316.03 = 390.46 : x
  2. Step 2: Convert to fraction form
    877.09/1,316.03 = 390.46/x
  3. Step 3: Cross multiply
    877.09x = 1,316.03 × 390.46
  4. Step 4: Simplify right side
    877.09x = 513,851.47
  5. Step 5: Solve for x
    x = 513,851.47/877.09
  6. Step 6: Final answer
    x = 585.86

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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.