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Finding the Fourth Proportional to 1,061.64, 1,464.90 and 589.53

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Solution

The fourth proportional to 1,061.64, 1,464.90 and 589.53 is: 813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.64 : 1,464.90 = 589.53 : x
  2. Step 2: Convert to fraction form
    1,061.64/1,464.90 = 589.53/x
  3. Step 3: Cross multiply
    1,061.64x = 1,464.90 × 589.53
  4. Step 4: Simplify right side
    1,061.64x = 863,602.50
  5. Step 5: Solve for x
    x = 863,602.50/1,061.64
  6. Step 6: Final answer
    x = 813.46

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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.