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Finding the Fourth Proportional to 710.84, 1,065.54 and 277.40

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Solution

The fourth proportional to 710.84, 1,065.54 and 277.40 is: 415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.84 : 1,065.54 = 277.40 : x
  2. Step 2: Convert to fraction form
    710.84/1,065.54 = 277.40/x
  3. Step 3: Cross multiply
    710.84x = 1,065.54 × 277.40
  4. Step 4: Simplify right side
    710.84x = 295,580.80
  5. Step 5: Solve for x
    x = 295,580.80/710.84
  6. Step 6: Final answer
    x = 415.82

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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.