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Finding the Fourth Proportional to 677.51, 1,013.52 and 460.63

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Solution

The fourth proportional to 677.51, 1,013.52 and 460.63 is: 689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.51 : 1,013.52 = 460.63 : x
  2. Step 2: Convert to fraction form
    677.51/1,013.52 = 460.63/x
  3. Step 3: Cross multiply
    677.51x = 1,013.52 × 460.63
  4. Step 4: Simplify right side
    677.51x = 466,857.72
  5. Step 5: Solve for x
    x = 466,857.72/677.51
  6. Step 6: Final answer
    x = 689.08

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1.5x scale

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.