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Finding the Fourth Proportional to 677.66, 1,011.58 and 595.64

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Solution

The fourth proportional to 677.66, 1,011.58 and 595.64 is: 889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.66 : 1,011.58 = 595.64 : x
  2. Step 2: Convert to fraction form
    677.66/1,011.58 = 595.64/x
  3. Step 3: Cross multiply
    677.66x = 1,011.58 × 595.64
  4. Step 4: Simplify right side
    677.66x = 602,538.55
  5. Step 5: Solve for x
    x = 602,538.55/677.66
  6. Step 6: Final answer
    x = 889.15

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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.