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Finding the Fourth Proportional to 895.42, 1,235.70 and 497.09

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Solution

The fourth proportional to 895.42, 1,235.70 and 497.09 is: 686.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.42 : 1,235.70 = 497.09 : x
  2. Step 2: Convert to fraction form
    895.42/1,235.70 = 497.09/x
  3. Step 3: Cross multiply
    895.42x = 1,235.70 × 497.09
  4. Step 4: Simplify right side
    895.42x = 614,254.11
  5. Step 5: Solve for x
    x = 614,254.11/895.42
  6. Step 6: Final answer
    x = 686.00

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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.