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Finding the Fourth Proportional to 877.56, 1,316.04 and 357.48

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Solution

The fourth proportional to 877.56, 1,316.04 and 357.48 is: 536.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.56 : 1,316.04 = 357.48 : x
  2. Step 2: Convert to fraction form
    877.56/1,316.04 = 357.48/x
  3. Step 3: Cross multiply
    877.56x = 1,316.04 × 357.48
  4. Step 4: Simplify right side
    877.56x = 470,457.98
  5. Step 5: Solve for x
    x = 470,457.98/877.56
  6. Step 6: Final answer
    x = 536.10

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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.