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Finding the Fourth Proportional to 1,047.51, 1,445.48 and 627.86

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Solution

The fourth proportional to 1,047.51, 1,445.48 and 627.86 is: 866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.51 : 1,445.48 = 627.86 : x
  2. Step 2: Convert to fraction form
    1,047.51/1,445.48 = 627.86/x
  3. Step 3: Cross multiply
    1,047.51x = 1,445.48 × 627.86
  4. Step 4: Simplify right side
    1,047.51x = 907,548.71
  5. Step 5: Solve for x
    x = 907,548.71/1,047.51
  6. Step 6: Final answer
    x = 866.39

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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.