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Finding the Fourth Proportional to 1,117.91, 1,677.32 and 501.45

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Solution

The fourth proportional to 1,117.91, 1,677.32 and 501.45 is: 752.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.91 : 1,677.32 = 501.45 : x
  2. Step 2: Convert to fraction form
    1,117.91/1,677.32 = 501.45/x
  3. Step 3: Cross multiply
    1,117.91x = 1,677.32 × 501.45
  4. Step 4: Simplify right side
    1,117.91x = 841,089.61
  5. Step 5: Solve for x
    x = 841,089.61/1,117.91
  6. Step 6: Final answer
    x = 752.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.