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Finding the Fourth Proportional to 895.68, 1,235.40 and 546

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Solution

The fourth proportional to 895.68, 1,235.40 and 546 is: 753.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.68 : 1,235.40 = 546 : x
  2. Step 2: Convert to fraction form
    895.68/1,235.40 = 546/x
  3. Step 3: Cross multiply
    895.68x = 1,235.40 × 546
  4. Step 4: Simplify right side
    895.68x = 674,528.40
  5. Step 5: Solve for x
    x = 674,528.40/895.68
  6. Step 6: Final answer
    x = 753.09

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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.