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Finding the Fourth Proportional to 1,069.66, 1,476.07 and 597.53

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Solution

The fourth proportional to 1,069.66, 1,476.07 and 597.53 is: 824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.66 : 1,476.07 = 597.53 : x
  2. Step 2: Convert to fraction form
    1,069.66/1,476.07 = 597.53/x
  3. Step 3: Cross multiply
    1,069.66x = 1,476.07 × 597.53
  4. Step 4: Simplify right side
    1,069.66x = 881,987.23
  5. Step 5: Solve for x
    x = 881,987.23/1,069.66
  6. Step 6: Final answer
    x = 824.55

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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.