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Finding the Fourth Proportional to 948.10, 1,307.82 and 598.18

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Solution

The fourth proportional to 948.10, 1,307.82 and 598.18 is: 825.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.10 : 1,307.82 = 598.18 : x
  2. Step 2: Convert to fraction form
    948.10/1,307.82 = 598.18/x
  3. Step 3: Cross multiply
    948.10x = 1,307.82 × 598.18
  4. Step 4: Simplify right side
    948.10x = 782,311.77
  5. Step 5: Solve for x
    x = 782,311.77/948.10
  6. Step 6: Final answer
    x = 825.14

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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.