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Finding the Fourth Proportional to 1,053.17, 1,452.93 and 633.53

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Solution

The fourth proportional to 1,053.17, 1,452.93 and 633.53 is: 874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.17 : 1,452.93 = 633.53 : x
  2. Step 2: Convert to fraction form
    1,053.17/1,452.93 = 633.53/x
  3. Step 3: Cross multiply
    1,053.17x = 1,452.93 × 633.53
  4. Step 4: Simplify right side
    1,053.17x = 920,467.48
  5. Step 5: Solve for x
    x = 920,467.48/1,053.17
  6. Step 6: Final answer
    x = 874.00

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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.