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Finding the Fourth Proportional to 1,045.32, 1,569.66 and 862.32

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Solution

The fourth proportional to 1,045.32, 1,569.66 and 862.32 is: 1,294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.32 : 1,569.66 = 862.32 : x
  2. Step 2: Convert to fraction form
    1,045.32/1,569.66 = 862.32/x
  3. Step 3: Cross multiply
    1,045.32x = 1,569.66 × 862.32
  4. Step 4: Simplify right side
    1,045.32x = 1,353,549.21
  5. Step 5: Solve for x
    x = 1,353,549.21/1,045.32
  6. Step 6: Final answer
    x = 1,294.87

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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.