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Finding the Fourth Proportional to 877.04, 1,210.14 and 527.75

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Solution

The fourth proportional to 877.04, 1,210.14 and 527.75 is: 728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.04 : 1,210.14 = 527.75 : x
  2. Step 2: Convert to fraction form
    877.04/1,210.14 = 527.75/x
  3. Step 3: Cross multiply
    877.04x = 1,210.14 × 527.75
  4. Step 4: Simplify right side
    877.04x = 638,645.33
  5. Step 5: Solve for x
    x = 638,645.33/877.04
  6. Step 6: Final answer
    x = 728.19

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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.