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Finding the Fourth Proportional to 973.51, 1,452.34 and 894.22

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Solution

The fourth proportional to 973.51, 1,452.34 and 894.22 is: 1,334.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.51 : 1,452.34 = 894.22 : x
  2. Step 2: Convert to fraction form
    973.51/1,452.34 = 894.22/x
  3. Step 3: Cross multiply
    973.51x = 1,452.34 × 894.22
  4. Step 4: Simplify right side
    973.51x = 1,298,711.47
  5. Step 5: Solve for x
    x = 1,298,711.47/973.51
  6. Step 6: Final answer
    x = 1,334.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.