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Finding the Fourth Proportional to 714.10, 1,065.46 and 610.24

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Solution

The fourth proportional to 714.10, 1,065.46 and 610.24 is: 910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.10 : 1,065.46 = 610.24 : x
  2. Step 2: Convert to fraction form
    714.10/1,065.46 = 610.24/x
  3. Step 3: Cross multiply
    714.10x = 1,065.46 × 610.24
  4. Step 4: Simplify right side
    714.10x = 650,186.31
  5. Step 5: Solve for x
    x = 650,186.31/714.10
  6. Step 6: Final answer
    x = 910.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.