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Finding the Fourth Proportional to 950.77, 1,312.53 and 597.20

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Solution

The fourth proportional to 950.77, 1,312.53 and 597.20 is: 824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.77 : 1,312.53 = 597.20 : x
  2. Step 2: Convert to fraction form
    950.77/1,312.53 = 597.20/x
  3. Step 3: Cross multiply
    950.77x = 1,312.53 × 597.20
  4. Step 4: Simplify right side
    950.77x = 783,848.44
  5. Step 5: Solve for x
    x = 783,848.44/950.77
  6. Step 6: Final answer
    x = 824.44

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Double scale
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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.