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Finding the Fourth Proportional to 895.16, 1,235.32 and 502.18

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Solution

The fourth proportional to 895.16, 1,235.32 and 502.18 is: 693.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.16 : 1,235.32 = 502.18 : x
  2. Step 2: Convert to fraction form
    895.16/1,235.32 = 502.18/x
  3. Step 3: Cross multiply
    895.16x = 1,235.32 × 502.18
  4. Step 4: Simplify right side
    895.16x = 620,354.83
  5. Step 5: Solve for x
    x = 620,354.83/895.16
  6. Step 6: Final answer
    x = 693.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.