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Finding the Fourth Proportional to 1,134.04, 1,564.58 and 714.20

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Solution

The fourth proportional to 1,134.04, 1,564.58 and 714.20 is: 985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.04 : 1,564.58 = 714.20 : x
  2. Step 2: Convert to fraction form
    1,134.04/1,564.58 = 714.20/x
  3. Step 3: Cross multiply
    1,134.04x = 1,564.58 × 714.20
  4. Step 4: Simplify right side
    1,134.04x = 1,117,423.04
  5. Step 5: Solve for x
    x = 1,117,423.04/1,134.04
  6. Step 6: Final answer
    x = 985.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.