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Finding the Fourth Proportional to 1,598.63, 2,206.13 and 977.63

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Solution

The fourth proportional to 1,598.63, 2,206.13 and 977.63 is: 1,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.63 : 2,206.13 = 977.63 : x
  2. Step 2: Convert to fraction form
    1,598.63/2,206.13 = 977.63/x
  3. Step 3: Cross multiply
    1,598.63x = 2,206.13 × 977.63
  4. Step 4: Simplify right side
    1,598.63x = 2,156,762.95
  5. Step 5: Solve for x
    x = 2,156,762.95/1,598.63
  6. Step 6: Final answer
    x = 1,349.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.