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Finding the Fourth Proportional to 1,442.61, 2,164.32 and 577.53

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Solution

The fourth proportional to 1,442.61, 2,164.32 and 577.53 is: 866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.61 : 2,164.32 = 577.53 : x
  2. Step 2: Convert to fraction form
    1,442.61/2,164.32 = 577.53/x
  3. Step 3: Cross multiply
    1,442.61x = 2,164.32 × 577.53
  4. Step 4: Simplify right side
    1,442.61x = 1,249,959.73
  5. Step 5: Solve for x
    x = 1,249,959.73/1,442.61
  6. Step 6: Final answer
    x = 866.46

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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.