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Finding the Fourth Proportional to 877.02, 1,210.08 and 558.12

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Solution

The fourth proportional to 877.02, 1,210.08 and 558.12 is: 770.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.02 : 1,210.08 = 558.12 : x
  2. Step 2: Convert to fraction form
    877.02/1,210.08 = 558.12/x
  3. Step 3: Cross multiply
    877.02x = 1,210.08 × 558.12
  4. Step 4: Simplify right side
    877.02x = 675,369.85
  5. Step 5: Solve for x
    x = 675,369.85/877.02
  6. Step 6: Final answer
    x = 770.07

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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.