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Finding the Fourth Proportional to 895.96, 1,235.76 and 597.07

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Solution

The fourth proportional to 895.96, 1,235.76 and 597.07 is: 823.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.96 : 1,235.76 = 597.07 : x
  2. Step 2: Convert to fraction form
    895.96/1,235.76 = 597.07/x
  3. Step 3: Cross multiply
    895.96x = 1,235.76 × 597.07
  4. Step 4: Simplify right side
    895.96x = 737,834.53
  5. Step 5: Solve for x
    x = 737,834.53/895.96
  6. Step 6: Final answer
    x = 823.51

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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.