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Finding the Fourth Proportional to 895.77, 1,235.86 and 502.71

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Solution

The fourth proportional to 895.77, 1,235.86 and 502.71 is: 693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.77 : 1,235.86 = 502.71 : x
  2. Step 2: Convert to fraction form
    895.77/1,235.86 = 502.71/x
  3. Step 3: Cross multiply
    895.77x = 1,235.86 × 502.71
  4. Step 4: Simplify right side
    895.77x = 621,279.18
  5. Step 5: Solve for x
    x = 621,279.18/895.77
  6. Step 6: Final answer
    x = 693.57

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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.