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Finding the Fourth Proportional to 1,130.81, 1,560.52 and 633.45

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Solution

The fourth proportional to 1,130.81, 1,560.52 and 633.45 is: 874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.81 : 1,560.52 = 633.45 : x
  2. Step 2: Convert to fraction form
    1,130.81/1,560.52 = 633.45/x
  3. Step 3: Cross multiply
    1,130.81x = 1,560.52 × 633.45
  4. Step 4: Simplify right side
    1,130.81x = 988,508.23
  5. Step 5: Solve for x
    x = 988,508.23/1,130.81
  6. Step 6: Final answer
    x = 874.16

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1.5x scale

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.