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Finding the Fourth Proportional to 1,045.86, 1,569.58 and 429.98

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Solution

The fourth proportional to 1,045.86, 1,569.58 and 429.98 is: 645.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.86 : 1,569.58 = 429.98 : x
  2. Step 2: Convert to fraction form
    1,045.86/1,569.58 = 429.98/x
  3. Step 3: Cross multiply
    1,045.86x = 1,569.58 × 429.98
  4. Step 4: Simplify right side
    1,045.86x = 674,888.01
  5. Step 5: Solve for x
    x = 674,888.01/1,045.86
  6. Step 6: Final answer
    x = 645.29

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