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Finding the Fourth Proportional to 1,066.98, 1,472.58 and 647.51

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Solution

The fourth proportional to 1,066.98, 1,472.58 and 647.51 is: 893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.98 : 1,472.58 = 647.51 : x
  2. Step 2: Convert to fraction form
    1,066.98/1,472.58 = 647.51/x
  3. Step 3: Cross multiply
    1,066.98x = 1,472.58 × 647.51
  4. Step 4: Simplify right side
    1,066.98x = 953,502.91
  5. Step 5: Solve for x
    x = 953,502.91/1,066.98
  6. Step 6: Final answer
    x = 893.64

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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.