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Finding the Fourth Proportional to 948.25, 1,307.95 and 593.55

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Solution

The fourth proportional to 948.25, 1,307.95 and 593.55 is: 818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.25 : 1,307.95 = 593.55 : x
  2. Step 2: Convert to fraction form
    948.25/1,307.95 = 593.55/x
  3. Step 3: Cross multiply
    948.25x = 1,307.95 × 593.55
  4. Step 4: Simplify right side
    948.25x = 776,333.72
  5. Step 5: Solve for x
    x = 776,333.72/948.25
  6. Step 6: Final answer
    x = 818.70

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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.