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Finding the Fourth Proportional to 1,043.19, 1,564.52 and 384.93

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Solution

The fourth proportional to 1,043.19, 1,564.52 and 384.93 is: 577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.19 : 1,564.52 = 384.93 : x
  2. Step 2: Convert to fraction form
    1,043.19/1,564.52 = 384.93/x
  3. Step 3: Cross multiply
    1,043.19x = 1,564.52 × 384.93
  4. Step 4: Simplify right side
    1,043.19x = 602,228.76
  5. Step 5: Solve for x
    x = 602,228.76/1,043.19
  6. Step 6: Final answer
    x = 577.30

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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.