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Finding the Fourth Proportional to 696.24, 1,038.28 and 594.16

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Solution

The fourth proportional to 696.24, 1,038.28 and 594.16 is: 886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.24 : 1,038.28 = 594.16 : x
  2. Step 2: Convert to fraction form
    696.24/1,038.28 = 594.16/x
  3. Step 3: Cross multiply
    696.24x = 1,038.28 × 594.16
  4. Step 4: Simplify right side
    696.24x = 616,904.44
  5. Step 5: Solve for x
    x = 616,904.44/696.24
  6. Step 6: Final answer
    x = 886.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.