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Finding the Fourth Proportional to 977.68, 1,460.13 and 782.98

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Solution

The fourth proportional to 977.68, 1,460.13 and 782.98 is: 1,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.68 : 1,460.13 = 782.98 : x
  2. Step 2: Convert to fraction form
    977.68/1,460.13 = 782.98/x
  3. Step 3: Cross multiply
    977.68x = 1,460.13 × 782.98
  4. Step 4: Simplify right side
    977.68x = 1,143,245.29
  5. Step 5: Solve for x
    x = 1,143,245.29/977.68
  6. Step 6: Final answer
    x = 1,169.35

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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.