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Finding the Fourth Proportional to 893.16, 1,232.59 and 500.22

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Solution

The fourth proportional to 893.16, 1,232.59 and 500.22 is: 690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.16 : 1,232.59 = 500.22 : x
  2. Step 2: Convert to fraction form
    893.16/1,232.59 = 500.22/x
  3. Step 3: Cross multiply
    893.16x = 1,232.59 × 500.22
  4. Step 4: Simplify right side
    893.16x = 616,566.17
  5. Step 5: Solve for x
    x = 616,566.17/893.16
  6. Step 6: Final answer
    x = 690.32

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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.